The 1-, 2-, and 3-characters determine a group
群论
2008-02-03 v1
摘要
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.
关键词
引用
@article{arxiv.math/9210219,
title = {The 1-, 2-, and 3-characters determine a group},
author = {Hans-Jürgen Hoehnke and Kenneth W. Johnson},
journal= {arXiv preprint arXiv:math/9210219},
year = {2008}
}
备注
3 pages