Open Access
Fall 2001 Counting involutions
Michael Aschbacher, Ulrich Meierfrankenfeld, Bernd Stellmacher
Illinois J. Math. 45(3): 1051-1060 (Fall 2001). DOI: 10.1215/ijm/1258138167

Abstract

Some results are established which are useful in determining the order of a finite group with one class of involutions, given knowledge of the centralizer of an involution. An application is provided to illustrate the results. The main tool is a lemma of H. Bender on counting involutions.

Citation

Download Citation

Michael Aschbacher. Ulrich Meierfrankenfeld. Bernd Stellmacher. "Counting involutions." Illinois J. Math. 45 (3) 1051 - 1060, Fall 2001. https://doi.org/10.1215/ijm/1258138167

Information

Published: Fall 2001
First available in Project Euclid: 13 November 2009

zbMATH: 1006.20013
MathSciNet: MR1879251
Digital Object Identifier: 10.1215/ijm/1258138167

Subjects:
Primary: 20D99

Rights: Copyright © 2001 University of Illinois at Urbana-Champaign

Vol.45 • No. 3 • Fall 2001
Back to Top