8 citations · 31 across the 22 of their papers we have counts for
5 papers · 1 filter
On symmetric quotients of symmetric algebras
Radha Kessar, Shigeo Koshitani, Markus Linckelmann
We investigate symmetric quotient algebras of symmetric algebras, with an emphasis on finite group algebras over a complete discrete valuation ring . Using elementary…
The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups
Shigeo Koshitani, Britta Spaeth
We verify the inductive blockwise Alperin weight (BAW) and the inductive Alperin-McKay (AM) conditions introduced by the second author for blocks of finite quasisimple groups with…
Clifford theory of characters in induced blocks
Shigeo Koshitani, Britta Spaeth
We present a new criterion to predict if a character of a finite group extends. Let be a finite group and a prime. For , we consider -blocks and of …
Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups
Shigeo Koshitani, Caroline Lassueur
We study the finitely generated abelian group of endo-trivial -modules where is the group algebra of a finite group over a field of characteristic . When t…
Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group Co_1
Shigeo Koshitani, Jürgen Müller, Felix Noeske
In the representation theory of finite groups, Broué's abelian defect group conjecture says that for any prime p if a p-block A of a finite group G has an abelian defect group P, t…