Finite groups admitting a dihedral group of automorphisms

dc.contributor.author	Ercan, G.
dc.contributor.author	Güloğlu, İ.Ş.
dc.date.accessioned	2019-06-17T18:52:50Z
dc.date.available	2019-06-17T18:52:50Z
dc.date.issued	2017
dc.description.abstract	Let D=⟨α,β⟩ be a dihedral group generated by the involutions α and β and let F=⟨αβ⟩. Suppose that D acts on a finite group G by automorphisms in such a way that CG(F)=1. In the present paper we prove that the nilpotent length of the group G is equal to the maximum of the nilpotent lengths of the subgroups CG(α) and CG(β).	uk_UA
dc.description.sponsorship	This work has been supported by the Research Project TÜBİTAK 114F223.	uk_UA
dc.identifier.citation	Finite groups admitting a dihedral group of automorphisms / G. Ercan, İ.Ş. Güloğlu // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 223-229. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:20D10, 20D15, 20D45.
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/156017
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.status	published earlier	uk_UA
dc.title	Finite groups admitting a dihedral group of automorphisms	uk_UA
dc.type	Article	uk_UA

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