The abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for the non-associative finite simple Moufang loops

dc.creatorVojtěchovský, Petr
dc.date2007-01-24
dc.date.accessioned2026-07-07T07:42:51Z
dc.date.available2026-07-07T07:42:51Z
dc.descriptionFor most (and possibly all) non-associative finite simple Moufang loops, three generators of order 3 can be chosen so that each two of them generate a group isomorphic to $(3, 3 | 3, p)$. The subgroup structure of $(3, 3 | 3, p)$ depends on the solvability of a certain quadratic congruence, and it is described here in terms of generators.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0701695
dc.identifierhttp://arxiv.org/abs/math/0701695
dc.identifierQuasigroups and Related Systems 8 (2001), 97-104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122599
dc.subjectGroup Theory
dc.subject20D30, 20N10
dc.titleThe abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for the non-associative finite simple Moufang loops
dc.typetext

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