A class of semiprimitive groups that are graph-restrictive
Group Theory
2015-01-19 v1 Combinatorics
Abstract
We prove that an infinite family of semiprimitive groups are graph-restrictive. This adds to the evidence for the validity of the PSV Conjecture and increases the minimal imprimitive degree for which this conjecture is open to 12. Our result can be seen as a generalisation of the well-known theorem of Tutte on cubic graphs. The proof uses the amalgam method, adapted to this new situation.
Cite
@article{arxiv.1401.3086,
title = {A class of semiprimitive groups that are graph-restrictive},
author = {Michael Giudici and Luke Morgan},
journal= {arXiv preprint arXiv:1401.3086},
year = {2015}
}
Comments
12 pages