caa a22 4500 388046937 CHVBK 20180307125040.0 cr unu---uuuuu 161130e199804 xx s 000 0 eng 10.1017/S1446788700001658 doi S1446788700001658 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700001658 Maxwell George Mathematics Department University of British Columbia #121-1984 Mathematics Road Vancouver, B. C. V6T 1Y4 Canada Euler Characteristics and imbeddings of hyperbolic Coxeter groups [Elektronische Daten] [George Maxwell] This paper has a twofold purpose. The first is to compute the Euler characteristics of hyperbolic Coxeter groups Ws of level 1 or 2 by a mixture of theoretical and computer aided methods. For groups of level 1 and odd values of |S|, the Euler characteristic is related to the volume of the fundamental region of Ws in hyperbolic space. Secondly we note two methods of imbedding such groups in each other. This reduces the amount of computation needed to determine the Euler characteristics and also reduces the number of essentially different hyperbolic groups that need to be considered. Copyright © Australian Mathematical Society 1998 primary 20F55 nationallicence secondary 52A38 nationallicence Journal of the Australian Mathematical Society Cambridge University Press 64/2(1998-04), 149-161 1446-7887 64:2<149 1998 64 JAZ https://doi.org/10.1017/S1446788700001658 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700001658 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Maxwell George Mathematics Department University of British Columbia #121-1984 Mathematics Road Vancouver, B. C. V6T 1Y4 Canada NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 64/2(1998-04), 149-161 1446-7887 64:2<149 1998 64 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge