International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 10, Pages 715-720
The Coxeter group
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.
We show that the Coxeter group is the split extension of
copies of by for a given action of described in the paper. We also find the centre of and some
of its other important subgroups.