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SchurRings :: numgens(SchurRing)

numgens(SchurRing) -- Number of generators of Schur ring.

Synopsis

Description

Given a Schur ring S, the function numgens outputs the number of generators of S. This is equal to the relative dimension of S over its base ring, and also to the maximal number of parts of a partition allowed as an index for the elements of S.

i1 : R = schurRing(QQ,r,6);
i2 : numgens R

o2 = 6
i3 : S = schurRing(s);
i4 : numgens S

o4 = infinity

o4 : InfiniteNumber