Local representation theory and Möbius inversion

Date

1999

Authors

Barker, L.

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Source Title

Communications in Algebra

Print ISSN

0092-7872

Electronic ISSN

1532-4125

Publisher

Taylor & Francis Inc.

Volume

27

Issue

7

Pages

3377 - 3399

Language

English

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Abstract

Various representation-theoretic parameters of a finite group are shown to satisfy formulas similar to formulas appearing in reformulations by Külshammer, Robinson, and Thévenaz of Alperin's Conjecture. The conjecture itself is reformulated again, now as a statement not mentioning characters or conjugacy classes.

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