Shigeo Koshitani

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20092026

most citedBroué's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited

1 citations · 1 across the 7 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.RT2026

A reciprocity theorem of Robinson-Benson-Webb for finite-dimensional symmetric algebras

Shigeo Koshitani

We generalize the reciprocity theorem of G.R.~Robinson, D. Benson and P. Webb between a finite group and its subgroup to the case of finite-dimensional {\it symmetric} algebras ove…

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

A reciprocity theorem of Robinson-Benson-Webb for finite-dimensional symmetric algebras

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