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Block multiplicities and the Brauer correspondence

โœ Scribed by Harald Ellers; Gregory Hill


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
924 KB
Volume
147
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


On the Brauer correspondence
โœ J.L Alperin ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB
On Blocks with One Simple Module in Any
โœ L. Puig; A. Watanabe ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 127 KB

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.

Glauberman-Isaacs Correspondence and ฮ -B
โœ J.S. Graves ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 400 KB

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 \(\pi\)

Blocks, Normal Subgroups, and Brauer's T
โœ Michael J. Collins ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 63 KB

This fluidity between the module and idempotent approaches will characterise what we want to do. We shall also refer to the blocks simply as blocks of the group G.