Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T09:54:46.975Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE GENUS OF A FINITE CLASSICAL GROUP

Published online by Cambridge University Press:  01 March 1997

MARTIN W. LIEBECK  and
CHRIS WAYMAN PURVIS
MARTIN W. LIEBECK
Affiliation:
Imperial College, London SW7 2BZ
CHRIS WAYMAN PURVIS
Affiliation:
Imperial College, London SW7 2BZ
Get access

Abstract

Let G be a finite group acting faithfully and transitively on a set Ω of size m, and let E = {x1, …, xk} be a generating set for G with x1x2…xk = 1. If x∈G has cycles of length r1, …, rl in its action on Ω, define ind (x) = [sum ]l1(ri−1). Then the genusg = g(G, Ω, E) is defined by

formula here

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 2 , March 1997 , pp. 159 - 164
Copyright
© The London Mathematical Society 1997

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.)