Finite groups admitting a dihedral group of automorphisms

dc.contributor.author	Erca, G.
dc.contributor.author	Güloğlu, İ.Ş.
dc.date.accessioned	2020-01-14T08:32:22Z
dc.date.available	2020-01-14T08:32:22Z
dc.date.issued	2017
dc.identifier.uri	http://hdl.handle.net/123456789/4644
dc.description	Erca G. Finite groups admitting a dihedral group of automorphisms / G. Erca, İ.Ş.Güloğlu // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 2. - Рp. 223 - 229	uk_UA
dc.description.abstract	Let D = hα, βi be a dihedral group generated by the involutions α and β and let F = hαβi. 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.language.iso	en	uk_UA
dc.publisher	ДЗ "ЛНУ імені Тараса Шевченка"	uk_UA
dc.relation.ispartofseries	математичні науки;
dc.subject	dihedral group	uk_UA
dc.subject	fixed points	uk_UA
dc.subject	nilpotent length.	uk_UA
dc.title	Finite groups admitting a dihedral group of automorphisms	uk_UA
dc.type	Article	uk_UA