Remarks on Proficient groups

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dc.creatorGuralnick, R. M.
dc.creatorKantor, W. M.
dc.creatorKassabov, M.
dc.creatorLubotzky, A.
dc.date2009-05-03
dc.date.accessioned2026-07-07T13:11:20Z
dc.date.available2026-07-07T13:11:20Z
dc.descriptionIf a finite group G has a presentation with d generators and r relations, it is well-known that r - d is at least the rank of the Schur multiplier of G; a presentation is called efficient if equality holds. There is an analogous definition for proficient profinite presentations. We show that many perfect groups have proficient presentations. Moreover, we prove that infinitely many alternating groups, symmetric groups and their double covers have proficient presentations
dc.identifierhttps://arxiv.org/abs/0905.0256
dc.identifierhttp://arxiv.org/abs/0905.0256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229253
dc.subjectGroup Theory
dc.titleRemarks on Proficient groups
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