A new look at the Burnside-Schur theorem

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dc.creatorEvdokimov, Sergei
dc.creatorPonomarenko, Ilia
dc.date2003-10-23
dc.date.accessioned2026-07-07T05:02:12Z
dc.date.available2026-07-07T05:02:12Z
dc.descriptionThe famous Burnside-Schur theorem states that every primitive finite permutation group containing a regular cyclic subgroup is either 2-transitive or isomorphic to a subgroup of a 1-dimensional affine group of prime degree. It is known that this theorem can be expressed as a statement on Schur rings over a finite cyclic group. Generalizing the latters we introduce Schur rings over a finite commutative ring and prove an analog of this statement for them. Besides, the finite local commutative rings are characterized in the permutation group terms.
dc.identifierhttps://arxiv.org/abs/math/0310373
dc.identifierhttp://arxiv.org/abs/math/0310373
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68963
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject05E99; 20B25
dc.titleA new look at the Burnside-Schur theorem
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