Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655624 | Journal of Combinatorial Theory, Series A | 2012 | 15 Pages |
Abstract
There is a well-known correspondence between abstract regular polytopes and string C-groups. In this paper, for each d⩾3, a string C-group with d generators, isomorphic to an alternating group of degree n is constructed (for some n⩾9), or equivalently an abstract regular d-polytope, is produced with automorphism group Alt(n). A method that extends the CPR graph of a polytope to a different CPR graph of a larger (or possibly isomorphic) polytope is used to prove that various groups are themselves string C-groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics