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dc.contributor.authorSiani, Serena
dc.date.accessioned2016-08-08T09:02:36Z
dc.date.available2016-08-08T09:02:36Z
dc.date.issued2016-04-19
dc.identifier.urihttp://hdl.handle.net/10556/2180
dc.description2013 - 2014it_IT
dc.description.abstractThis thesis is composed of four chapters, two of which, Chapter 3 and Chapter 4, contain original results. In Chapter 1 we recall some basic notions and establish some of the notation and terminology which will be used in the sequel. For example, we recall some useful results about the class X of groups which are isomorphic to their non-abelian subgroups. Every group of this class is in_nite and 2-generated. This class of groups has been studied by H. Smith and J. Wiegold( [34]). They proved that every insoluble X-group is centre- by-simple and they gave a complete characterization of soluble X-groups. Then we recall some results about _nitely generated groups which are isomorphic to their non-trivial normal subgroups. In particular, we will use the result proved by J.C. Lennox, H. Smith and J. Wiegold in [17], for which if G is a _nitely generated in_nite group that is isomorphic to all its non-trivial normal subgroups and which contains a proper normal subgroup of _nite index, then G ' Z... [edited by author]it_IT
dc.language.isoenit_IT
dc.publisherUniversita degli studi di Salernoit_IT
dc.subjectGroup theoryit_IT
dc.subjectFibonacciit_IT
dc.titleA problem in the Theory of Groups and a question related to Fibonacci-Like sequencesit_IT
dc.typeDoctoral Thesisit_IT
dc.subject.miurMAT/02 ALGEBRAit_IT
dc.contributor.coordinatoreLongobardi, Patriziait_IT
dc.description.cicloXIII n.s.it_IT
dc.contributor.tutorLongobardi, Patriziait_IT
dc.contributor.cotutorMaj, Mercedeit_IT
dc.identifier.DipartimentoMatematicait_IT
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