Matched pairs, permutation representations, and the bol property

Kenneth Johnson, J. D.H. Smith

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Abstract

The article examines Bol loops that are constructed from matched pairs of groups, including a new simple, non-Moufang Bol loop of order 120. Certain permutation representations of the loops under consideration provide nontrivial examples of doubly stochastic action matrices. A generalization of the matched-pair loop construction yields proper Bol actions of groups.

Original languageEnglish (US)
Pages (from-to)2903-2914
Number of pages12
JournalCommunications in Algebra
Volume38
Issue number8
DOIs
Publication statusPublished - Aug 30 2010

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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