Characterization of classical groups

by orbit sizes on the natural module

Author:
Martin W. Liebeck

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2961-2966

MSC (1991):
Primary 20G40

DOI:
https://doi.org/10.1090/S0002-9939-96-03505-8

MathSciNet review:
1343709

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that if is a finite vector space, and is a subgroup of having the same orbit sizes on 1-spaces as an orthogonal or unitary group on , then, with a few exceptions, is itself an orthogonal or unitary group on .

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Additional Information

**Martin W. Liebeck**

Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ, United Kingdom

Email:
m.liebeck@ic.ac.uk

DOI:
https://doi.org/10.1090/S0002-9939-96-03505-8

Received by editor(s):
March 20, 1995

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1996
American Mathematical Society