Published January 1, 2016
| Version v1
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A refinement of Alperin's Conjecture for blocks of the endomorphism algebra of the Sylow permutation module
Creators
- 1. Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey
- 2. Mimar Sinan Fine Arts Univ, Dept Math, TR-34380 Istanbul, Turkey
Description
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.
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