International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 10, Pages 715-720
doi:10.1155/S0161171200002167

The Coxeter group Dn

M. A. Albar1 and Norah Al-Saleh2

1Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
2Department of Mathematics, College of Girls, Dammam, Saudi Arabia

Received 3 September 1998; Revised 16 November 1998

Copyright © 2000 M. A. Albar and Norah Al-Saleh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We show that the Coxeter group Dn is the split extension of n−1 copies of Z2 by Sn for a given action of Sn described in the paper. We also find the centre of Dn and some of its other important subgroups.