Collineation groups of the smallest Bol 3-nets

Simple item page
dc.creatorNagy, Gabor P.
dc.date2004-11-14
dc.date.accessioned2026-07-07T05:14:20Z
dc.date.available2026-07-07T05:14:20Z
dc.descriptionSome associativity properties of a loop can be interpreted as certain closure configuration of the corresponding 3-net. It was known that the smallest non-associative loops with the so called left Bol property have order 8. In this paper, we determine the direction preserving collineation groups of the 3-nets belonging to these smallest Bol loops. For that, we prove some new results concerning collineations of 3-nets and autotopisms of loops.
dc.descriptionAppeared in Note di Matematica 14(1):115-128, 1994
dc.identifierhttps://arxiv.org/abs/math/0411317
dc.identifierhttp://arxiv.org/abs/math/0411317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73234
dc.subjectGroup Theory
dc.subject20N05
dc.titleCollineation groups of the smallest Bol 3-nets
dc.typetext

Files

Collections

arXiv