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arXiv:math/0701659 [math.GR]AbstractReferencesReviewsResources

Distances of groups of prime order

Petr Vojtěchovský

Published 2007-01-23Version 1

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.

Comments: 7 pages
Journal: proceedings of Olomouc Workshop on General Algebra '98, published in Contributions to General Algebra 11, 225-231, Verlag Johannes Heyn, Klagenfurt, 1999
Categories: math.GR
Subjects: 20K01
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