A Technique for the Search for Vertices of the Components of a k G-Permutation Module |
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Authors: | Lars Pforte |
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Institution: | 1. Department of Mathematics , National University of Ireland , Maynooth , Kildare , Ireland lars.pforte@yahoo.ie lars.pforte@nuim.ie |
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Abstract: | In this paper we present a necessary condition for a p-group V ≤ G to be a vertex of some indecomposable direct summand of the permutation module k H ↑ G , where H ≤ G, and G is a finite group. We call this condition H-suitability and present a method how to check for it. In an example, we determine all H-suitable groups. In fact, in this example every H-suitable group is the vertex of some indecomposable direct summand of k H ↑ G . |
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Keywords: | Group theory Representation theory |
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