Distances of groups of prime order
Group Theory
2007-05-23 v1
Abstract
Given two finite groups G(.), G(*) defined on the same set G, their distance is the number of pairs (x,y) for which x.y and x*y differ. The Cayley stability of a group G(.) is the minimum distance of G(.) from another group defined on G. We show that the Cayley stability of the cyclic group of prime order p is 6p-18, for every p>7.
Cite
@article{arxiv.math/0701659,
title = {Distances of groups of prime order},
author = {Petr Vojtěchovský},
journal= {arXiv preprint arXiv:math/0701659},
year = {2007}
}
Comments
7 pages