Closest multiplication tables of groups

Petr Vojtechovsky, Ian Murray Wanless

Research output: Contribution to journalArticleResearchpeer-review

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) is an element of G x G where the two group operations differ. Given a group G(o) of order n, we find all groups of order n, up to isomorphism, that are closest to G(o).
Original languageEnglish
Pages (from-to)261 - 285
Number of pages25
JournalJournal of Algebra
Volume353
Issue number1
DOIs
Publication statusPublished - 2012

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