Transitive permutation groups of prime-squared degree

Simple item page
dc.creatorDobson, Edward
dc.creatorWitte, Dave
dc.date2000-12-19
dc.date2009-03-03
dc.date.accessioned2026-07-07T12:48:14Z
dc.date.available2026-07-07T12:48:14Z
dc.descriptionWe explicitly determine all of the transitive groups of degree p-squared, p a prime, whose Sylow p-subgroup is not the wreath product of two cyclic groups of order p. Furthermore, we provide a general description of the transitive groups of degree p-squared whose Sylow p-subgroup is such a wreath product, and explicitly determine most of them. As applications, we solve the Cayley Isomorphism problem for Cayley objects of an abelian group of order p-squared, explicitly determine the full automorphism group of Cayley graphs of abelian groups of order p-squared, and find all nonnormal Cayley graphs of order p-squared.
dc.description29 pages, no figures. This version corrects an error in the statement of Theorem 12
dc.identifierhttps://arxiv.org/abs/math/0012192
dc.identifierhttp://arxiv.org/abs/math/0012192
dc.identifierJournal of Algebraic Combinatorics 16 (2002) 43-69
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221988
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject20B35; 05C25, 05E20
dc.titleTransitive permutation groups of prime-squared degree
dc.typetext

Files

Collections

arXiv