A refinement of Alperin’s Conjecture for blocks of the endomorphism algebra of the Sylow permutation module

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Author
Barker, L.
Tuvay, İ.
Date
2016Journal Title
Archiv der Mathematik
ISSN
1420-8938 (online) 0003-889X (print)
Publisher
Birkhaeuser Science
Volume
106
Issue
1
Pages
15 - 20
Language
English
Type
Article
Metadata
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http://hdl.handle.net/11693/22925Abstract
We present a refinement of Alperin’s Conjecture involving the blocks of the endomorphism algebra of the permutation module formed by the cosets of a p-subgroup. We prove the conjecture in two special cases where every weight module has a simple socle. © 2015, Springer International Publishing.