String C-groups from groups of order 2^m and exponent at least 2^(m - 3)
Group Theory
2016-07-07 v1
Abstract
This work provides a classification of string C-groups of order 2m and exponent at least 2^(m - 3). Prior to the classification, we complete the list of groups of exponent 2^(m - 3) and rank at least 3. The main result states that, aside from the cyclic and dihedral groups, only two groups of exponent at least 2^(m - 3) are connected string C-groups. Both have rank 3 and are quotients of the string Coxeter group W = [4, 2^(m - 3)].
Cite
@article{arxiv.1607.01457,
title = {String C-groups from groups of order 2^m and exponent at least 2^(m - 3)},
author = {Mark L. Loyola},
journal= {arXiv preprint arXiv:1607.01457},
year = {2016}
}