Institution Of The Thesis: Gazi University, Turkey
Approval Date: 2016
Thesis Language: Turkish
Student: Aykut Kayhan
Consultant: AYNUR ARIKANAbstract:
In this thesis, the paper written by Howard SMITH named Locally finite groups with all subgroups subnormal or nilpotent-by-Chernikov is studied. Let G is locally finite group satisfying all subgroups subnormal or nilpotent-by-Chernikov. It is shown that if G is finite exponent; then G is nilpotent-by-finite. Moreover, it is shown that if G is not nilpotent-by- Chernikov, then G has a section isomorphic to a group G(F,K) = A ⋊ K such that A and K is respectively additive and multicaptive subgroup of locally finite F field or that G(F,K) is elementary abelian p-group. In particular, K generates F by acting on A by multicaption.