On the existence of complements in a group to some abelian normal subgroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the existence of complements in a group to some abelian normal subgroups
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| Creator |
Dixon, M.R.
Kurdachenko, L.A. Javier Otal |
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| Description |
A complement to a proper normal subgroup H of a group G is a subgroup K such that G=HK and H∩K=⟨1⟩. Equivalently it is said that G splits over H. In this paper we develop a theory that we call hierarchy of centralizers to obtain sufficient conditions for a group to split over a certain abelian subgroup. We apply these results to obtain an entire group-theoretical wide extension of an important result due to D. J. S. Robinson formerly shown by cohomological methods.
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| Date |
2019-06-15T16:48:42Z
2019-06-15T16:48:42Z 2010 |
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| Type |
Article
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| Identifier |
On the existence of complements in a group to some abelian normal subgroups / M.R. Dixon, L.A. Kurdachenko, Javier Otal // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 18–41. — Бібліогр.: 32 назв. — англ.
1726-3255 2010 Mathematics Subject Classification:20E22, 20E26, 20F50 http://dspace.nbuv.gov.ua/handle/123456789/154605 |
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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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