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The 1-, 2-, and 3-characters determine a group
Author(s):
H.-J.
Hoehnke;
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.
References:
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- [Br]
- R. Brauer, Representations of finite groups, Lectures in Modern Mathematics (T. L. Saaty, ed.), Wiley, 1963, pp. 133-175. MR 0178056 (31:2314)
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- [J]
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- [Ro]
- M. Roitman, A complete set of invariants for finite groups, Adv. in Math. 41 (1981), 301-311. MR 630923 (83c:20009)
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00302-6
PII:
S 0273-0979(1992)00302-6
Copyright of article:
Copyright
1992,
American Mathematical Society
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