Groups Wıth All Non-Nılpotent Subgroups Subnormal

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Thesis Type: Postgraduate

Institution Of The Thesis: Gazi University, Turkey

Approval Date: 2018

Thesis Language: Turkish

Student: Tuğçe Küçükoğlu

Supervisor: AYNUR ARIKAN

Abstract:

In this thesis, the article written by Howard SMITH titled Groups with all non-nilpotent subgroups subnormal'' is studied. In this work, locally finite group in which every nonnilpotent subgroups subnormal have been studied. It is shown that a group with this property is almost locally nilpotent and in addition that G is a hypercentral group, that is, nilpotentby- finite which and in addition G is a Baer group, every subgroup of G is subnormal.