# Gerald J. Janusz

Department of Mathematics

University of Illinois at Urbana-Champaign

5181 Doral Ct

Ann Arbor, MI 48108

Tel: (734) 944-1120

e-mail: *janusz@math.uiuc.edu*

## General Information

Ph.D. University of Oregon, 1965.

Retired, May 2004

## Area of Specialization

Representation theory of finite groups, algebraic number theory, Brauer
groups,

ring theory, algebraic coding theory.
## Mathematica File

Mathematica file for [72,36,16] paper

## Selected Publications

- The Schur group of an algebraic number field, Annals of Math., 103(1976), 253-281.
- Automorphisms of simple algebras and group algebras, Proc. Philadelphia Conference, Dekker Lecture Notes, 37(1976), 381-388.
- Orthogonal groups of some trace forms, J. Pure and Applied Algebra, 29(1983) 297-312.
- Introduction to Modern Algebra, 7th Ed. Trustworthy Communications, Ann
Arbor (2009) (N. McCoy, G. Janusz), available from Amazon.
- Permutation groups generated by a transposition and another element, L'Enseignement Math. 38 (1992),
41--53.
- Hereditary Crossed Products, TAMS v.352 (2000) 3381-3410/with J.
Haefner
- Overlap and Covering Polynomials with Applications to
Designs and Self-dual Codes , SIAM J. on Discrete
Math., v. 13, no.2, (2000)
Overlap.dvi
- Construction of some self-dual binary codes (2002)
SDCodes.dvi

SDCodes.tex
- Parametrization of Self-Dual Codes by Orthogonal Matrices-Preprint 2005
ParametrizationPREPRINT.dvi

ParametrizationPREPRINT.TEX