CPR graphs and regular polytopes

被引:26
作者
Pellicer, Daniel [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Mexico City 04510, DF, Mexico
关键词
D O I
10.1016/j.ejc.2007.01.001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies C-group permutation representation graphs, or for short, CPR graphs. C-groups are the groups of abstract regular polytopes. CPR graphs are shown to be a useful tool for studying such polytopes. We establish general properties of CPR graphs. Moreover, we illustrate their use by constructing regular polyhedra with alternating groups A as the automorphism groups. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:59 / 71
页数:13
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