The 1-, 2-, and 3-characters determine a group-Reference-Cited by-同舟云学术

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

Published:1992 Issue:2 Volume:27 Page:243-245
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Hoehnke H.-J.,Johnson K. W.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/bull/1992-27-02/S0273-0979-1992-00302-6/S0273-0979-1992-00302-6.pdf

Reference13 articles.

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2. N. Bourbaki, Algèbre. I, Paris, 1970.

3. Representations of finite groups;Brauer, Richard,1963

4. The group determinant determines the group;Formanek, Edward;Proc. Amer. Math. Soc.,1991

5. G. Frobenius, Über die Primfaktoren der Gruppendeterminante, S’ber. Akad. Wiss. Berlin (1896), 1343-1382.

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