A Strict Inequality for a Minimal Degree of a Direct Product
Group Theory
2007-08-07 v2
Abstract
The minimal faithful permutation degree of a finite group G is the least non-negative integer n such that G embeds in the symmetric group Sym(n). Work of Johnson and Wright established conditions for when the minimal degree of a direct product equals the sum of the minimal degrees for two finite groups. Wright asked whether this is true for all finite groups. A counter- example of degree 15 was provided by the referee and was added as an addendum in a paper of Wright. Here we provide a counter-example of degree 12.
Keywords
Cite
@article{arxiv.0708.0714,
title = {A Strict Inequality for a Minimal Degree of a Direct Product},
author = {Neil Saunders},
journal= {arXiv preprint arXiv:0708.0714},
year = {2007}
}
Comments
8 pages