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Remarks on Brauer Correspondences

✍ Scribed by Y. Fan

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
378 KB
Volume
157
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

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We prove that a block of a finite group such that the defect groups are abelian and all the Brauer correspondents (the block itself included) have a unique isomorphism class of simple modules is nilpotent. (C) 1994 Academic Press, Inc.

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Suppose that a group \(A\) acts on a group \(G\) of coprime order; then the Glauberman-Isaacs correspondence defines a bijection between the \(A\)-invariant irreducible characters of \(G\) and the irreducible characters of the fixed-point subgroup \(C=\mathrm{C}_{6}(A)\). For a set of primes \(\pi\)