|
30 Kasım 2022, 11:00 
Bilkent Üniversitesi Cebir SeminerleriCounting Wedderburn Components of Finite Group Algebras Over $Q_{p}$ Robert Boltje Let $b$ be a block idempotent of the finite group algebra $Z_{p}G$. We present a conjecture that expresses the number of Wedderburn components of $Q_{p}G$ of a given "type" as an alternating sum of those numbers for blocks associated with $b$ on $p$-local subgroups. We prove that this conjecture is equivalent to a refinement of Alperin's weight conjecture due to Turull and that it holds for various classes of blocks. This is joint work with Burkhard Külshammer. NOT: This is an online seminar. To request the event link, please send a message to d.yilmaz@bilkent.edu.tr Cebir İngilizce Zoom botan 26.11.2022 |
