Distances of groups of prime order

Details Distances of groups of prime order Distances of groups of prime order

2007-01-23

arxiv.org/abs/math/0701659v1

proceedings of Olomouc Workshop on General Algebra '98, published in Contributions to General Algebra 11, 225-231, Verlag Joha

Mathematics

Group Theory

7 pages

Scientific paper

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.

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