The Real Part of the Character Table of a Finite Group |
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Authors: | Tom Wilde |
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Affiliation: | 1. London, UK tom@beech84.fsnet.co.uk |
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Abstract: | In the ordinary character table of a finite group G, the values of the real valued irreducible characters on the real conjugacy classes form a sub-table which is square by Brauer's permutation lemma. We call this table the real part of the character table of G. Unlike the ordinary character table, viewed as a square matrix the real part of the character table is often singular. We present some results linking nonsingularity of this table to other properties of G. |
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Keywords: | Brauer permutation lemma Character table Real character |
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