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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

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


Authors: H.-J. Hoehnke and K. W. Johnson
Journal: Bull. Amer. Math. Soc. 27 (1992), 243-245
MSC (2000): Primary 20C15
MathSciNet review: 1149873
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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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DOI: http://dx.doi.org/10.1090/S0273-0979-1992-00302-6
PII: S 0273-0979(1992)00302-6
Article copyright: © Copyright 1992 American Mathematical Society