Article ID Journal Published Year Pages File Type
4585883 Journal of Algebra 2012 25 Pages PDF
Abstract

Suppose that all groups of order n are defined on the same set G of cardinality n, and let the distance of two groups of order n be the number of pairs (a,b)∈G×G where the two group operations differ. Given a group G(∘) of order n, we find all groups of order n, up to isomorphism, that are closest to G(∘).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory