Abnormal subgroups and Carter subgroups in some infinite groups
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 interm...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2005 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156610 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708851453722624 |
|---|---|
| author | Kurdachenko, L.A. Subbotin, I.Ya. |
| author_facet | Kurdachenko, L.A. Subbotin, I.Ya. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T17:12:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156610 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:12:55Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kurdachenko, L.A. Subbotin, I.Ya. 2019-06-18T17:50:39Z 2019-06-18T17:50:39Z 2005 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. https://nasplib.isofts.kiev.ua/handle/123456789/156610 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Abnormal subgroups and Carter subgroups in some infinite groups Article published earlier |
| spellingShingle | Abnormal subgroups and Carter subgroups in some infinite groups Kurdachenko, L.A. Subbotin, I.Ya. |
| title | Abnormal subgroups and Carter subgroups in some infinite groups |
| title_full | Abnormal subgroups and Carter subgroups in some infinite groups |
| title_fullStr | Abnormal subgroups and Carter subgroups in some infinite groups |
| title_full_unstemmed | Abnormal subgroups and Carter subgroups in some infinite groups |
| title_short | Abnormal subgroups and Carter subgroups in some infinite groups |
| title_sort | abnormal subgroups and carter subgroups in some infinite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156610 |
| work_keys_str_mv | AT kurdachenkola abnormalsubgroupsandcartersubgroupsinsomeinfinitegroups AT subbotiniya abnormalsubgroupsandcartersubgroupsinsomeinfinitegroups |