Finite groups admitting a dihedral group of automorphisms
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Finite groups admitting a dihedral group of automorphisms
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| Creator |
Ercan, G.
Güloğlu, İ.Ş. |
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| Description |
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).
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| Date |
2019-06-17T18:52:50Z
2019-06-17T18:52:50Z 2017 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:20D10, 20D15, 20D45. http://dspace.nbuv.gov.ua/handle/123456789/156017 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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