Cartan invariants

of group algebras of finite groups

Author:
Shigeo Koshitani

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2319-2323

MSC (1991):
Primary 20C05, 20C20

DOI:
https://doi.org/10.1090/S0002-9939-96-03401-6

MathSciNet review:
1328356

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Abstract | References | Similar Articles | Additional Information

Abstract: We give a result on Cartan invariants of the group algebra of a finite group over an algebraically closed field , which implies that if the Loewy length (socle length) of the projective indecomposable -module corresponding to the trivial -module is four, then has characteristic 2. The proof is independent of the classification of finite simple groups.

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Additional Information

**Shigeo Koshitani**

Affiliation:
Department of Mathematics, Faculty of Science, Chiba University, Yayoi-cho, Chiba-city, 263, Japan

Email:
koshitan@math.s.chiba-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-96-03401-6

Received by editor(s):
August 17, 1994

Received by editor(s) in revised form:
February 7, 1995

Additional Notes:
Supported in part by the Alexander von Humboldt Foundation, the Mathematical Prizes Fund, the University of Oxford and the Sasakawa Foundation.

Dedicated:
Dedicated to Professor Takeshi Kondo on his 60th birthday

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1996
American Mathematical Society