A solvable version of the Baer--Suzuki Theorem

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dc.creatorGuest, Simon
dc.date2009-02-10
dc.date.accessioned2026-07-07T12:39:57Z
dc.date.available2026-07-07T12:39:57Z
dc.descriptionSuppose that G is a finite group and x in G has prime order p > 3. Then x is contained in the solvable radical of G if (and only if) <x,x^g> is solvable for all g in G. If G is an almost simple group and x in G has prime order p > 3 then this implies that there exists g in G such that <x,x^g> is not solvable. In fact, this is also true when p=3 with very few exceptions, which are described explicitly.
dc.identifierhttps://arxiv.org/abs/0902.1738
dc.identifierhttp://arxiv.org/abs/0902.1738
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219300
dc.subjectGroup Theory
dc.subject20D25 (Primary), 20D05, 20E28, 20E45 (Secondary)
dc.titleA solvable version of the Baer--Suzuki Theorem
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