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On conjugacy classes in certain isogenous groups

Published online by Cambridge University Press:  17 April 2009

T.A. Ketter  and
G.I. Lehrer
T.A. Ketter
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
G.I. Lehrer
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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Abstract

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We give some results on the number of G-orbits (G = GL(n, q)) on groups isogenous (in the algebraic-geometric sense) to SL(n, q). The conjectured isogeny invariance of this number is contradicted by computer calculations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 14 , Issue 3 , June 1976 , pp. 371 - 377
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Borel, Armand, Linear algebraic groups (Benjamin, New York, Amsterdam, 1969).Google Scholar
[2]Green, J.A., “The characters of the finite general linear groups”, Trans. Amer. Math. Soc. 80 (1955), 402–447.CrossRefGoogle Scholar
[3]Lehrer, G.I., “Characters, classes, and duality in isogenous groups”, J. Algebra 36 (1975), 278–286.CrossRefGoogle Scholar