Derek J. S. Robinson

University of Illinois at Urbana-Champaign

- Groups in which normality is a transitive relation, Proc. Cambridge Philos. Soc. 60 (1964), 21-38.
- Joins of subnormal subgroups, Illinois J. Math. 9 (1965), 144-168.
- On finitely generated soluble groups, Proc. London Math. Soc.(3) 15 (1965), 508-516.
- On the theory of subnormal subgroups, Math. Z. 89 (1965), 30-51.
- Wreath products and indices of subnormality, Proc. London Math. Soc. (3)17 (1967), 257-270.
- On soluble minimax groups, Math. Z. 101 (1967), 13-40.
- Infinite Soluble and Nilpotent Groups, Queen Mary College Mathematics Notes, London(1967).
- Residual properties of some classes of infinite soluble groups, Proc. London Math. Soc. (3) 18 (1968), 495-520.
- A note on finite groups in which normality is transitive, Proc. Amer. Math. Soc. 19 (1968), 933-937.
- Finiteness conditions for subnormal and ascendant abelian subgroups, J. Algebra 10 (1968), 333-359.
- A property of the lower central series of a group, Math. Z. 107 (1968), 225-231.
- A note on groups of finite rank, Compositio Math. 21 (1969), 240-246.
- Groups which are minimal with respect to normality being intransitive, Pacific J. Math. 31 (1969), 777-785.
- A theorem on finitely generated hyperabelian groups, Invent. Math.10 (1970), 38-43.
- On the theory of groups with extremal layers, J. Algebra (1970), 182-193.
- Maximal subgroups and chief factors of certain generalized soluble groups, (with R.E. Phillips and J.E. Roseblade), Pacific J. Math. 37 (1971), 475-480.
- Intersections of primary powers of a group, Math. Z. 124 (1972), 119-132.
- Groups whose images have a transitive normality relation, Conference on Group Theory, University of Wisconsin-Parkside, Lecture Notes in Math., vol. 319, 148-155, Springer, Berlin (1973).
- Groups whose homomorphic images have a transitive normality relation, Trans. Amer. Math. Soc. 196 (1973), 181-213.
- The subnormal coalescence of some classes of groups of finite rank, (with M. Drukker and I.N. Stewart), J. Austral. Math. Soc. 16 (1973), 324-327.
- Hypercentral ideals, noetherian modules and a theorem of Stroud, J. Algebra 32 (1974), 234-239.
- On the cohomology of soluble groups of finite rank, J. Pure Appl. Algebra 6 (1975), 234-239.
- Splitting theorems for infinite groups, Symposia Math. 17 (1976), 441-470.
- A new treatment of soluble groups with finiteness conditions on their abelian subgroups, Bull. London Math. Soc. 8 (1976), 113-129: Russian transl. Uspekhi Mat. Nauk. 34 (1979), 197-215 .
- The vanishing of certain homology and cohomology groups, J. Pure Appl. Algebra 7 (1976), 145-167.
- A contribution to the theory of groups with finitely many automorphisms, Proc. London Math. Soc. (3)35 (1977), 34-54.
- Homology of group extensions whose kernels are divisible abelian torsion groups, J. Pure Appl. Algebra 14 (1979), 145-165.
- Infinite torsion groups as automorphism groups, Quarterly J. Math. 30(1979), 351-364.
- On the homology of hypercentral groups, Arch. Math. (Basel) 32 (1979), 224-226.
- Finite metabelian groups with no outer automorphisms, (with T. M. Gagen), Arch. Math. (Basel) 32 (1979), 417-423.
- Soluble products of nilpotent groups, (with J.C. Lennox), Rend. Sem. Mat. Univ. Padova 62 (1980), 261-280.
- Outer automorphisms of infinite soluble groups, Rend. Sem. Mat. Univ. Padova 62 (1980), 281-294.
- On finite complete groups, (with B. Hartley), Arch. Math. (Basel) 35 (1980), 67-74.
- Recent results on finite complete groups, Algebra-Carbondale (1980), pp.178-185, Lecture Notes in Math., vol. 848, Springer-Verlag, New York, 1981.
- Nearly maximal subgroups of finitely generated soluble groups, (with J. C. Lennox), Arch. Math. (Basel) 38 (1982), 289-295.
- Groups with prescribed automorphism group, Proc. Edinburgh Math. Soc. 25 (1982), 217-227.
- Some finitely presented soluble groups which are not nilpotent by abelian by finite, (with R. Strebel), J. London Math. Soc. (2)26 (1982), 435-440.
- Applications of cohomology to the theory of groups, Groups-St. Andrews 1981, pp. 46-80, London Math. Lecture Notes, vol. 71 (1982). Reprinted 2008.
- Automorphism groups of FC-groups, (with S.E.Stonehewer and J. Wiegold), Arch. Math. (Basel) 40 (1983), 401-404.
- Infinite factorized groups, Rend. Sem. Mat-Fis. Milan 53 (1983), 347-355.
- Groups with prescribed automorphism group: a clarification, Proc. Edinburgh Math. Soc. 27 (1984), 59-60.
- The word problem for finitely generated soluble groups of finite rank, (with F.B. Cannonito), Bull. London Math. Soc. 16 (1984), 43-46.
- Soluble groups with many polycyclic quotients, (with J.S. Wilson), Proc. London Math. Soc. (3)48 (1984), 193-229.
- Soluble groups which are products of nilpotent minimax groups, (with B. Amberg), Arch. Math. (Basel) 42 (1984), 385-390.
- Topics in the theory of finitely generated soluble groups, Lecture Notes Series, National University of Singapore 21 (1984).
- Groups with boundedly finite automorphism classes, (with J. Wiegold), Rend. Sem. Mat. Univ. Padova 71 (1984), 273-286.
- Decision problems for infinite soluble groups, Groups-Korea 1983, pp. 111-117, Lecture Notes in Mathematics, vol. 1098, Springer-Verlag, Berlin, 1984.
- Automorphism groups of group extensions, Algebra and its Applications, New Delhi 1981, pp.163-167, Lecture Notes in Pure and Applied Mathematics, vol. 91, Dekker, New York, 1984.
- Finiteness, solubility and nilpotence, Essays for Philip Hall, pp. 159-206 Academic Press, New York-London, 1984.
- A permutational property of groups, (with M. Curzio, P. Longobardi and M. Maj), Arch. Math. (Basel) 44 (1985), 385-389.
- Soluble products of nilpotent groups, J. Algebra 98 (1986), 183-196.
- Decision problems for soluble groups of finite rank, Illinois J. Math. 30 (1986), 197-213.
- On torsion in groups whose automorphism groups have finite rank, (with S. Franciosi and F. de Giovanni), Rocky Mountain J. Math. 17 (1987), 431-445.
- Cohomology of locally nilpotent groups, J. Pure Appl. Algebra 48(1987), 281-300.
- Homology and cohomology of locally supersoluble groups, Math. Proc. Cambridge Philos. Soc. 102 (1987), 233-250.
- A finiteness condition on automorphism groups, (with F. Menogazzo), Rend. Sem. Mat. Univ. Padova 78 (1987), 267-277.
- Vanishing theorems for cohomology of locally nilpotent groups, Group Theory, pp. 120-129, Lecture Notes in Math., vol. 1281, Springer, Berlin (1987).
- Groups whose quotients have finite derived subgroup, (with Z. Zhang), J. Algebra 118 (1988), 346-368.
- Some remarks on central automorphisms of hypercentral groups, (with M. Curzio, H. Smith and J. Wiegold), Arch. Math. (Basel), 53 (1989), 327-331.
- Cohomology in infinite group theory, Proceedings of 1987 Singapore Group Theory Conference, pp. 29-53, de Gruyter, Berlin (1989).
- Recent progress on rewritability in groups, (with R.D. Blyth), in Proceedings of 1987 Singapore Group Theory Conference, pp. 77-85, de Gruyter, Berlin (1989).
- Reflections on the constructive theory of polycyclic groups, Groups-Korea 1988, Springer Lecture Notes, vol. 1398 (1989), 163-169.
- Solution of the solvability problem for rewritable groups, (with R.D. Blyth), J. London Math. Soc. (2) 41 (1990), 438-444.
- Algorithmic problems for automorphisms and endomorphisms of infinite soluble groups, Algebraic Structures and Number Theory, pp. 247-254, World Scientific, Singapore 1990.
- Deciding if an automorphism of an infinite soluble group is inner, Glasgow Math. J. 32 (1990), 265-272.
- The algorithmic theory of polycyclic-by-finite groups, (with G. Baumslag, F.B. Cannonito and D. Segal), J. Algebra 142 (1991),118-149.
- A note on local coboundaries for locally nilpotent groups, Proceedings of conference on combinatorial group theory, College Park, 1988, Contemp. Math. 109 (1990), 159-163.
- Insoluble groups with the rewriting property P_8, (with R.D. Blyth), J. Pure Appl. Algebra 72 (1991), 251-263.
- On the structure of the normal subgroups of a group: nilpotency, (with J.C. Beidleman), Forum Math. 3 (1991), 581-593.
- Algorithms for finitely generated soluble groups, Lecture Note Series, National University of Singapore 39 (1992).
- On the structure of the normal subgroups of a group: supersolubility, (with J.C. Beidleman), Rend. Sem. Mat. Univ. Padova 87 (1992), 139-149.
- Triple factorizations by abelian groups, (with S.E. Stonehewer), Arch. Math., 60 (1993), 223-232.
- Imperfect Groups, (with A.J. Berrick), J. Pure Appl. Algebra. 88 (1993), 3-22.
- Groups with triple factorizations by abelian groups, (with S.E. Stonehewer), Proceedings of Conference on Infinite Groups and Group Rings 1992, pp. 122-126, World Scientific, Singapore 1993.
- The algorithmic theory of finitely generated metabelian groups, (with G. Baumslag and F.B. Cannonito), Trans. Amer. Math. Soc. 344 (1994), 629-648.
- Semisimple algebras, Galois actions and group cohomology, (with E. Aljadeff), J. Pure Appl. Algebra 94 (1994), 1-15.
- On subsemigroups and submonoids of a group, (with W. Yang), Ricerche di Mat. 43 (1994), 231-237.
- Review of Products of Groups by B. Amberg, S. Franciosi and F. de Giovanni, Bull. Amer. Math. Soc. 30 (1994), 262-268.
- The generalized Wielandt subgroup of a group, (with J.C. Beidleman and M. Dixon), Canad. J. Math. 47 (1995), 246-261.
- Solution of the twisting problem for skew group algebras, (with E. Aljadeff), Israel J. Math. 91 (1995), 409-417.
- Automorphisms fixing every subnormal subgroup of a finite group, Arch. Math. (Basel) 64 (1995), 1-4.
- Semisimple groups with the rewriting property Q_8, (with R.D. Blyth), Commun. in Algebra 23 (1995), 2171- 2180.
- Normalizers of subnormal subgroups, Infinite Groups 94, Editors F. Giovanni and M. Newell, de Gruyter, Berlin 1995.
- A topological characterization of free abelian groups, (with M. Timm), Proc. Workshop Geometric Topology 1994, Brigham Young Univ. Press 1996.
- Virtually trivial automorphisms of finitely generated groups, (with A. M. Hassanabadi and J. Wiegold), Bull. Iran. Math. Soc. 22 (1996), 35-40.
- On finite groups satisfying the permutizer condition, (with J.C. Beidleman), J. Algebra 191 (1997), 686-703.
- Groups in which every automorphism centralizes a subgroup of prime index, (with A. M. Hassanabadi and J. Wiegold), Commun. in Algebra 25 (10), (1997), 3119-3136.
- An algebraic model for the representation of accounting systems, (with R.A. Nehmer), Ann. Operations Research 71 (1997), 179-198.
- On groups that are isomorphic with every subgroup of finite index and their topology, (with M. Timm), J. London Math. Soc. (2)57 (1998), 91-104.
- The permutizer condition in infinite soluble groups, (with J.C. Beidleman), J. Algebra 210 (1998), 311-319.
- Permutability properties of subgroups, Groups St. Andrews 1997 in Bath., London Math. Soc. Lecture Notes vol. 261 (1999), 633-638.
- A survey of groups in which normality or permutability is a transitive relation, Algebra: Recent Advances, pp. 171-181, New Delhi (1999).
- Criteria for permutability to be transitive in finite groups, (with J.C. Beidleman and B. Brewster), J. of Algebra 222 (1999), 400-412.
- The Wielandt subgroup, Encyclopedia of Math., Supplement II, Kluwer, Dordrecht, pp. 509-510, 2000.
- On chief factors of dinilpotent groups, (with S.E. Stonehewer), J. Algebra, 234(2000), 480-491.
- The structure of finite groups in which permutability is transitive, J. Austral. Math. Soc. 70 (2001), 143-159.
- Derivations and the permutability of subgroups in polycyclic-by-finite groups, Proc. Amer. Math. Soc. 130 (2002), 3461-3464.
- Minimality and groups in which Sylow permutability is transitive, Ukrain. Mat. Z. 54 (2002), 856-865 = Ukr. Math. Soc. 54(2002), 1038-1049.
- Finite groups in which normality or permutability is transitive, Advances in Group Theory. Proceedings of Conference in group theory, University of Naples, 2002. Aracne. Rome 2003.
- Finite groups whose cyclic subnormal subgroups are permutable, Algebra Colloquium 12 (2005), 171-180.
- The maximal and minimal conditions for normal subgroups of infinite order or index, (with F. de Giovanni, D.H. Paek and A. Russo), Commun. in Algebra. 33 (2005), 183-199.
- On finite minimal non-nilpotent groups. (with A. Ballester- Bolinches and R. Esteban-Romero), Proc. Amer. Math. Soc. 133 (2005), 3455-3469.
- On co-hopfian groups, (with G. Endimioni), Public. Math. Debrecen 67 (2005), 423-436.
- Groups with finitely many derived subgroups, (with F. de Giovanni), J. London Math. Soc. 71 (2005), 658-668.
- The Maier-Schmidt problem for infinite groups, (with M.R. Celentani and A. Leone), J. Algebra 301 (2006), 294-307.
- On inert subgroups of a group. Rend. Sem. Mat. Univ. Padova 115 (2006), 137-159.
- On groups which contain no HNN-extensions, (with A. Russo and G. Vincenzi), Internat. J. Algebra and Computation 17 (2007), 1377-1387.
- Five Lectures on the Theory of Infinite Groups, Lectures given at Chengdu University of Information Science and Technology, Urbana, IL 2007.
- On groups in which every subgroup is closed in the profinite topology, (with A. Russo and G. Vicenzi), J. Pure Appl. Algebra 213 (2009), 421-429.
- On the theory of generalized FC-groups, (with A. Russo and G. Vincenzi), J. of Algebra, 326 (2011), 218-226.
- Generalized Baumslag-Solitar groups and geometric homomorphisms, (with A.L. Delgado and M. Timm), J. Pure Appl. Algebra 213 (2009), 421-429.
- Sylow permutability in locally finite groups, Ricerche di Mat. 59 (2010), 313-318.
- Recent results on generalized Baumslag-Solitar groups, Advances in Group Theory, Note di Matematica 30 (2010), 1-17.
- The Schur multiplier of a generalized Baumslag-Solitar group, Rend. Sem. Mat. Univ. Padova, 125 (2011), 207-215.
- Inducibility of automorphism pairs in group extensions, in "Encuentro en Teoria de Grupos y sus Aplicaciones", (Zaragoza 2011), pp. 233-241. Revista Matematica Iberoamericana, Madrid 2012.
- On groups with two isomorphism classes of derived subgroups, (with P. Longobardi, M. Maj and H. Smith), Glasgow Math. J. 55 (2013), 655-668.
- Generalized Baumslag-Solitar graphs with soluble fundamental groups, (with A. Delgado and M. Timm), Algebra Colloquium 21 (2014), 53-58.
- Automorphisms of group extensions, Note di Matematica 33 (2013), 121-129.
- Locally finite groups with finitely many isomorphism classes of derived subgroups, (with P. Longobardi and M.Maj), J. Algebra 393 (2013), 102-119.
- Recent results on groups with few isomorphism classes of derived subgroups, (with P. Longobardi and M. Maj), Contemp. Math. 611 (2014), 121-135.
- Group algebras with the bounded splitting property, (with B. Torrecillas), Commun. in Algebra 42 (2014), 5381-5386.
- Systems of companies with assets in common, (with S. Cruz Rambaud), Physica A 416 (2015), 129-134.
- Generalized Baumslag-Solitar groups: a survey of recent progress, Groups St. Andrews 2013, London Math. Soc Lecture Notes 423 (2015), pp. 457-468.
- On the cohomology of finite soluble groups, Arch. Math. (Basel) 105 (2015), 101-108.
- On groups with extreme centralizers and normalizers, Advances in Group Theory and Appls. 1 (2016), 125-140.
- Cyclic normal subgroups of generalized Baumslag-Solitar groups, (with A.L. Delgado and M. Timm), Commun. in Algebra 45 (2017), 1808-1818.
- Sylow permutability in generalized soluble groups, J. Group Theory 20 (2017), 61-70.
- Sylow permutability in soluble minimax groups, Ricerche di Mat. 66 (2017), 521-530.
- 3-manifolds and generalized Baumslag-Solitar groups, (with A.L. Delgado and M. Timm), Commun. in Analysis and Geometry, 26 (2018), 571-584.
- On groups with countably many maximal subgroups, (with A. Arikan and G. Cutolo), J. Group Theory 21 (2018), 253-271.
- On groups that are dominated by countably many proper subgroups, (with A. Arikan and G. Cutolo), J. Algebra 509 (2018), 445-466.
- On metanilpotent groups satisfying the minimal condition on normal subgroups, J. Group Theory 2019, to appear.
- On infinite groups whose finite quotients have restricted prime divisors, preprint.