On simple modules and normal subgroups of p-solvable groups |
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Authors: | A Laradji |
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Institution: | (1) Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia |
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Abstract: | Let N be a normal subgroup of a p-solvable group G and let M be a simple FN-module, where F is an algebraically closed field of characteristic p. Next, denote by IRR0(FG|M) the set of all simple FG-modules V lying over M such that the p-part of dimF V is as small as possible. In this paper, |IRR0(FG|M)| and the vertices of modules in IRR0(FG|M) are determined. The p-blocks of G to which modules in IRR0(FG|M) belong are also determined.Received: 5 December 2003 |
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Keywords: | 20C15 20C20 |
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