Automorphisms of p-groups of maximal class

dc.creatorCaranti, Andrea
dc.creatorMattarei, Sandro
dc.date2005-12-21
dc.date.accessioned2026-07-07T06:55:37Z
dc.date.available2026-07-07T06:55:37Z
dc.descriptionJuhasz has proved that the automorphism group of a group G of maximal class of order p^n, with p\ge 5 and n>p+1, has order divisible by $p^{\lceil(3n-2p+5)/2\rceil}$. We show that by translating the problem in terms of derivations, the result can be deduced from the case where G is metabelian. Here one can use a general result of Caranti and Scoppola concerning automorphisms of two-generator, nilpotent metabelian groups.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0512494
dc.identifierhttp://arxiv.org/abs/math/0512494
dc.identifierRend. Sem. Mat. Univ. Padova. 115 (2006), 189-198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106338
dc.subjectGroup Theory
dc.subject20D15; 20D45
dc.titleAutomorphisms of p-groups of maximal class
dc.typetext

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