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EMBEDDINGS OF Sz(32) IN E8(5)

Published online by Cambridge University Press:  01 March 2000

JAN SAXL ,
DAVID B. WALES  and
ROBERT A. WILSON
JAN SAXL
Affiliation:
DPMMS, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB
DAVID B. WALES
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
ROBERT A. WILSON
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT
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Abstract

We show that the Suzuki group Sz(32) is a subgroup of E8(5), and so is its automorphism group. Both are unique up to conjugacy in E8([ ]) for any field [ ] of characteristic 5, and the automorphism group Sz(32)[ratio ]5 is maximal in E8(5).

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 2 , March 2000 , pp. 196 - 202
Copyright
© The London Mathematical Society 2000

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