Subgroups defining automorphisms in locally nilpotent groups

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dc.creatorCutolo, Giovanni
dc.creatorNicotera, Chiara
dc.date2001-09-21
dc.date.accessioned2026-07-07T04:43:29Z
dc.date.available2026-07-07T04:43:29Z
dc.descriptionWe investigate some situation in which automorphisms of a group G are uniquely determined by their restrictions to a proper subgroup H. Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many (outer) automorphisms.
dc.description14 pages - no figures - to appear on Forum Mathematicum --- plain TeX requires eplain + additional macros files
dc.identifierhttps://arxiv.org/abs/math/0109160
dc.identifierhttp://arxiv.org/abs/math/0109160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62241
dc.subjectGroup Theory
dc.subject20F28, 20F19
dc.titleSubgroups defining automorphisms in locally nilpotent groups
dc.typetext

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