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Projective modules of finite groups with elementary abelian Sylow 3-subgroups of order 9 in characteristic 3

Published online by Cambridge University Press:  14 November 2011

Shigeo Koshitani
Shigeo Koshitani
Affiliation:
Department of Mathematics, Faculty of Science, Chiba University, Yayoi-cho, Chiba-city, 263, Japan e-mail: koshitan@science.s.chiba-u.ac.jp
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Abstract

Let G be any finite group with elementary abelian Sylow 3-subgroups of order 9, and let F be any field of characteristic 3. Then, the Loewy length of the projective cover of the trivial FG-module is at least 5. This lower bound is the best possible.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 1 , 1994 , pp. 161 - 168
Copyright
Copyright © Royal Society of Edinburgh 1994

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