Abnormal subgroups and Carter subgroups in some infinite groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Abnormal subgroups and Carter subgroups in some infinite groups
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| Creator |
Kurdachenko, L.A.
Subbotin, I.Ya. |
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| Description |
t. Some properties of abnormal subgroups in generalized soluble groups are considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it is proven that a subgroup H of a radical group G is abnormal in G if and only if every intermediate subgroup for H coincides with its normalizer in G. This result extends on radical groups the wellknown criterion of abnormality for finite soluble groups due to D. Taunt. For some infinite groups (not only periodic) the existence of Carter subgroups and their conjugation have been also obtained. |
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| Date |
2019-06-18T17:50:39Z
2019-06-18T17:50:39Z 2005 |
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| Type |
Article
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| Identifier |
Abnormal subgroups and Carter subgroups in some infinite groups / L.A. Kurdachenko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 69–83. — Бібліогр.: 25 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 20E34, 20F19, 20F22. http://dspace.nbuv.gov.ua/handle/123456789/156610 |
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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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