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Characterization of a family of simple groups by their character table, II

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Marcel Herzog  and
David Wright
Marcel Herzog
Affiliation:
Department of Mathematics, Tel-Aviv University, Tel-Aviv, Israel
David Wright
Affiliation:
Department of Mathematics, Tel-Aviv University, Tel-Aviv, Israel
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It is shown that the simple groups G2(q), q = 3f, are characterized by their character table. This result completes characterization of the simple groups G2(q), q odd, by their character table.

MSC classification

Secondary: 20D08: Simple groups 20C15: Ordinary representations and characters
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 2 , December 1980 , pp. 168 - 170
Copyright
Copyright © Australian Mathematical Society 1980

References

Enomoto, Hikoe (1976), ‘The characters of the finite Chevally group G2(q), q = 3f’, Japan J. Math. 2. 191–248.CrossRefGoogle Scholar
Feit, Walter (1967), Characters of finite groups (Mathematics Lecture Notes. W. A. Benjamin Inc., New York).Google Scholar
Herzog, Marcel and Wright, David (1977), ‘Characterization of a family of simple groups by their character table’, J. Austral. Math. Soc. Ser. A. 24, 296–304.CrossRefGoogle Scholar
Lambert, P. J. (1972), ‘Characterization groups by their character tables I’, Quart. J. Math. Oxford Ser., 23, 427–433.CrossRefGoogle Scholar
Stroth, G. (1976), ‘Über Gruppen mit 2-Sylow-Durchschnitten von Rang≦3’, I and II, J. Algebra 43, 398–456 and 457–505.CrossRefGoogle Scholar