Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-20T04:41:43.329Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)