On Some Autotopisms Of Non-Steiner Central Loops

Simple item page
dc.creatorJaiyeola, Temitope Gbolahan
dc.creatorAdeniran, John Olushola
dc.date2007-07-10
dc.date2008-06-05
dc.date.accessioned2026-07-07T09:42:29Z
dc.date.available2026-07-07T09:42:29Z
dc.descriptionAn algebraic process for the construction of an autotopism for a non-Steiner C-loop is described and this is demonstrated with an example using a known finite C-loop. In every C-loop, two of its parastrophes are not equivalent(equal) it, if and only if both the first and second components of the constructed autotopism and its inverse autotopism are not equal to the identity map. Hence, none of the other three parastrophes is equivalent(equal) to the C-loop. It is proved that the set of autotopisms that prevent a C-loop from being a Steiner loop forms a Steiner triple system.
dc.description12 pages, submitted
dc.identifierhttps://arxiv.org/abs/0707.1438
dc.identifierhttp://arxiv.org/abs/0707.1438
dc.identifierJournal Of Nigerian Mathematical Society, Vol. 27(2008), 53-68
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162198
dc.subjectGeneral Mathematics
dc.subject20NO5; 08A05
dc.titleOn Some Autotopisms Of Non-Steiner Central Loops
dc.typetext

Files

Collections

arXiv