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Characterization of a family of simple groups by their character table

Published online by Cambridge University Press:  09 April 2009

Marcel Herzog  and
David Wright
David Wright
Affiliation:
Institute of Advanced Studies, Australian National University, Canberra, A.C.T. 2600.
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Abstract

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The paper establishes a method for bounding the 2-rank of a simple group with one conjugacy class of involutions, by means of its character table. For many groups of 2-rank ≦ 4, this bound is shown to be exact. The main result is that the simple groups G2(q),(q,6) = 1, are characterized bv their character table.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 3 , November 1977 , pp. 296 - 304
Copyright
Copyright © Australian Mathematical Society 1977

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