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Cartan invariants of group algebras of finite groups
Author(s):
Shigeo
Koshitani
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2319-2323.
MSC (1991):
Primary 20C05, 20C20
MathSciNet review:
1328356
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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:
10.1090/S0002-9939-96-03401-6
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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