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TWO NEW CONSTRUCTIONS OF THE O'NAN GROUP

Published online by Cambridge University Press:  01 December 1997

C. JANSEN  and
R. A. WILSON
C. JANSEN
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen Germany
R. A. WILSON
Affiliation:
School of Mathematics & Statistics, University of Birmingham, Birmingham B15 2TT
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Abstract

A construction is described of a 153-dimensional representation of the triple cover of O'Nan's sporadic simple group, over the field of order 4. This is then extended to a 306-dimensional representation of 3·O'N[ratio ]2 over GF(2). A similar construction in characteristic 3 gives an unrelated representation of the O'Nan group in 154 dimensions over GF(3), which extends to O'N[ratio ]2 provided that the field is extended to GF(9).

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 579 - 583
Copyright
The London Mathematical Society 1997

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