String C-groups as transitive subgroups of Sym(n)
Group Theory
2014-10-23 v1
Abstract
If is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sym(n) (other than Sym(n) and the alternating group Alt(n)), then the rank of is at most , with finitely many exceptions (which are classified). It is conjectured that only the symmetric group has to be excluded.
Cite
@article{arxiv.1410.5863,
title = {String C-groups as transitive subgroups of Sym(n)},
author = {Peter J. Cameron and Maria Elisa Fernandes and Dimitri Leemans and Mark Mixer},
journal= {arXiv preprint arXiv:1410.5863},
year = {2014}
}