Shigeo Koshitani

activity

20122026

most citedBroué's abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group

1 citations · 1 across the 3 of their papers we have counts for

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math.RT2026

The Mathieu group $M_{12}$ vs $S L_{3} (3)$ in characteristic 3

Shigeo Koshitani, Tetsuro Okuyama

We prove that the principal $3$ -blocks of the Mathieu group $M_{12}$ and the special linear group $\SL_3(3)$ are splendidly Rickard equivalent, and hence derived equivalent,…

math.RT2016

The projective cover of the trivial representation for a finite group of Lie type in defining characteristic

Shigeo Koshitani, Jürgen Müller

We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra $k G$ of a finite group $G$ of Lie type defined over a finite field of…

math.RT2012★ 1 cited

Broué's abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group

Shigeo Koshitani, Jürgen Müller, Felix Noeske

In the representation theory of finite groups, there is a well-known and important conjecture, due to Broué saying that for any prime p, if a p-block A of a finite group G has an a…

The Mathieu group M12​ vs SL3​(3) in characteristic 3

The projective cover of the trivial representation for a finite group of Lie type in defining characteristic

Broué's abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group

The Mathieu group $M_{12}$ vs $S L_{3} (3)$ in characteristic 3