Finite groups admitting a dihedral group of automorphisms

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4644

Title:	Finite groups admitting a dihedral group of automorphisms
Authors:	Erca, G. Güloğlu, İ.Ş.
Keywords:	dihedral group fixed points nilpotent length.
Issue Date:	2017
Publisher:	ДЗ "ЛНУ імені Тараса Шевченка"
Series/Report no.:	математичні науки;
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).
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
URI:	http://hdl.handle.net/123456789/4644
Appears in Collections:	Algebra and Discrete Mathematics. - № 2 (23). - 2017

Files in This Item:

File	Description	Size	Format
348-1604-1-PB.pdf		317.73 kB	Adobe PDF	View/Open

DSpace JSPUI