Thompson-like characterization of the solvable radical

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dc.creatorGuralnick, R.
dc.creatorKunyavskii, B.
dc.creatorPlotkin, E.
dc.creatorShalev, A.
dc.date2005-04-08
dc.date2005-08-28
dc.date.accessioned2026-07-07T08:52:13Z
dc.date.available2026-07-07T08:52:13Z
dc.descriptionWe prove that the solvable radical of a finite group G coincides with the set of elements y having the following property: for any x in G the subgroup of G generated by x and y is solvable. We present analogues of this result for finite dimensional Lie algebras and some classes of infinite groups. We also consider a similar problem for pairs of elements.
dc.description13 pages; completely revised and extended version
dc.identifierhttps://arxiv.org/abs/math/0504176
dc.identifierhttp://arxiv.org/abs/math/0504176
dc.identifierJ. Algebra 300 (2006), 363-375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145203
dc.subjectGroup Theory
dc.subject20F16
dc.titleThompson-like characterization of the solvable radical
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