Counting characters in linear group actions |
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Authors: | Thomas Michael Keller |
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Institution: | (1) Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, USA |
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Abstract: | Let G be a finite group and V be a finite G-module. We present upper bounds for the cardinalities of certain subsets of Irr(GV), such as the set of those χ ∈ Irr(GV) such that, for a fixed v ∈ V, the restriction of χ to 〈v〉 is not a multiple of the regular character of 〈v〉. These results might be useful in attacking the noncoprime k(GV)-problem. |
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