Taro Sakurai

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20182021

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math.RT2019

The isomorphism problem for group algebras: a criterion

Taro Sakurai

Let $R$ be a finite unital commutative ring. We introduce a new class of finite groups, which we call hereditary groups over $R$ . Our main result states that if $G$ is a hereditary…

math.RT2018

On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras

Shigeo Koshitani, Taro Sakurai

In 1941, Brauer-Nesbitt established a characterization of a block with trivial defect group as a block $B$ with $k (B) = 1$ where $k (B)$ is the number of irreducible ordinary charac…