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arXiv · 1609.08070

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

Shigeo Koshitani·Jürgen Müller
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Abstract

We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra $kG$ of a finite group $G$ of Lie type defined over a finite field of odd characteristic $p$, where $k$ is an arbitrary field of characteristic $p$; the proof uses Auslander-Reiten theory.

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Shigeo Koshitani, Jürgen Müller. 2016-09-26. The projective cover of the trivial representation for a finite group of Lie type in defining characteristic. https://arxiv.org/abs/1609.08070

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