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arXiv · math/9210219

The 1-, 2-, and 3-characters determine a group

Hans-Jürgen Hoehnke·Kenneth W. Johnson
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Abstract

A set of invariants for a finite group is described. These arise naturally from Frobenius' early work on the group determinant and provide an answer to a question of Brauer. Whereas it is well known that the ordinary character table of a group does not determine the group uniquely, it is a consequence of the results presented here that a group is determined uniquely by its ``3-character'' table.

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Hans-Jürgen Hoehnke, Kenneth W. Johnson. 1992-10-01. The 1-, 2-, and 3-characters determine a group. https://arxiv.org/abs/math/9210219

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