Shigeo Koshitani

activity

20092026

p

-blocks with small numbers of characters

8 citations · 31 across the 22 of their papers we have counts for

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3 papers · 1 filter

math.RT2017

Splendid Morita equivalences for principal 2-blocks with dihedral defect groups

Shigeo Koshitani, Caroline Lassueur

Given a dihedral $2$ -group $P$ of order at least~8, we classify the splendid Morita equivalence classes of principal $2$ -blocks with defect groups isomorphic to $P$ . To this end we…

math.RT2017★ 4 cited

The Brauer indecomposability of Scott modules and the quadratic group Qd(p)

Shigeo Koshitani, İpek Tuvay

Let $k$ be an algebraically closed field of prime characteristic $p$ and $P$ a finite $p$ -group. We compute the Scott $k G$ -module with vertex $P$ when $F$ is a constraine…

math.RT2017★ 2 cited

Simple modules in the Auslander-Reiten quiver of principal blocks with abelian defect groups

Shigeo Koshitani, Caroline Lassueur

Given an odd prime $p$ , we investigate the position of simple modules in the stable Auslander-Reiten quiver of the principal block of a finite group with non-cyclic abelian Sylow $…