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08 Mayıs 2019, 15:40 
Atılım Üniversitesi Genel SeminerImplications of the index of a fixed point subgroups Erkan Murat Türkan
Let G be a finite group and A be a subgroup of the automorphism group
Aut(G) of G. In this work, we studied the influence of the index of fixed point
subgroup of A in G on the structure of G.
When A is cyclic, we proved the following:
(1) [G, A] is solvable if this index is squarefree and the orders of G and A
are coprime.
(2) G is solvable if the index of the centralizer of each x in H−G is squarefree
where H denotes the semidirect product of G by A.
Grup Teorisi İngilizce FEF 404 denizmercan 20.03.2020 |
