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arXiv · 1702.05440

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

Shigeo Koshitani·Caroline Lassueur
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Abstract

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 $p$-subgroups. In particular, we prove a reduction to finite simple groups. In the case that the characteristic is $3$, we prove that simple modules in the principal block all lie at the end of their components

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BibTeXRIS

Shigeo Koshitani, Caroline Lassueur. 2017-02-17. Simple modules in the Auslander-Reiten quiver of principal blocks with abelian defect groups. https://doi.org/10.1017/nmj.2017.45

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