Real characters in blocks

Details Real characters in blocks Real characters in blocks

2011-03-16

arxiv.org/abs/1103.3171v1

Mathematics

Representation Theory

Scientific paper

We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture
and Eaton's conjecture. We prove the real version of Eaton's conjecture for
2-blocks of groups with cyclic defect group and for the principal 2-blocks of
groups with trivial real core. We also characterize G-classes, real and
rational G-classes of the defect group of a block B.

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