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March 2010 Natural Morita equivalences of degree $n$
Yun Fan, Qinqin Yang, Yuanyang Zhou
Osaka J. Math. 47(1): 1-15 (March 2010).

Abstract

Let $G$ be a finite group, $H$ a normal subgroup of $G$ and $b$ and $c$ block idempotents of $\mathcal{O}G$ and $\mathcal{O}H$ respectively. Under the assumption that $C_{H}(R)\subset O_{p',p}(H)$ for a Sylow $p$-subgroup $R$ of $O_{p',p}(H)$ and $c$ is also a block idempotent of $\mathcal{O}O_{p'}(H)$, we give two equivalent conditions about when $\mathcal{O}Gb$ and $\mathcal{O}Hc$ are natural Morita equivalent of degree $n$ (see Theorem 1.5).

Citation

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Yun Fan. Qinqin Yang. Yuanyang Zhou. "Natural Morita equivalences of degree $n$." Osaka J. Math. 47 (1) 1 - 15, March 2010.

Information

Published: March 2010
First available in Project Euclid: 19 February 2010

zbMATH: 1208.20006
MathSciNet: MR2666121

Subjects:
Primary: 20C20

Rights: Copyright © 2010 Osaka University and Osaka City University, Departments of Mathematics

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Vol.47 • No. 1 • March 2010
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