Diassociativity in Conjugacy Closed Loops

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dc.creatorKinyon, Michael K.
dc.creatorKunen, Kenneth
dc.creatorPhillips, J. D.
dc.date2002-09-20
dc.date.accessioned2026-07-07T04:51:06Z
dc.date.available2026-07-07T04:51:06Z
dc.descriptionLet $Q$ be a conjugacy closed loop, and $N(Q)$ its nucleus. Then $Z(N(Q))$ contains all associators of elements of $Q$. If in addition $Q$ is diassociative (i.e., an extra loop), then all these associators have order 2. If $Q$ is power-associative and $|Q|$ is finite and relatively prime to 6, then $Q$ is a group. If $Q$ is a finite non-associative extra loop, then $16 \mid |Q|$.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0209279
dc.identifierhttp://arxiv.org/abs/math/0209279
dc.identifierCommunications in Algebra 32 (2004), 767-786
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65025
dc.subjectGroup Theory
dc.subject20N05
dc.titleDiassociativity in Conjugacy Closed Loops
dc.typetext

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