Universally noncommutative loops

A.E. Brouwer, I.M. Wanless

Research output: Contribution to journalArticleAcademicpeer-review


We call a loop universally noncommutative if it does not have a loop isotope in which two non-identity elements commute. Finite universally noncommutative loops are equivalent to latin squares that avoid the configuration: (formula). By computer enumeration we find that there are only two species of universally noncommutative loops of order = 11. Both have order 8.
Original languageEnglish
Pages (from-to)113-115
JournalBulletin of the Institute of Combinatorics and its Applications
Publication statusPublished - 2011


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