The structure of locally finite groups of finite c-dimension Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2019, Volume: 18, Number: 12, Article number : 1950223, Pages count : 12 DOI: 10.1142/S0219498819502232 | ||
| Tags | Centralizer dimension; c-dimension; minimal condition on centralizers; locally finite groups; locally soluble radical | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 14-21-00065 |
Abstract:
The c-dimension of a group is the supremum of lengths of strict nested chains of centralizers. We describe the structure of locally finite groups of finite c-dimension. We also prove that the c-dimension of the quotient G/R of a locally finite group G by the locally soluble radical R is bounded in terms of the c-dimension of G.
Cite:
Buturlakin A.A.
The structure of locally finite groups of finite c-dimension
Journal of Algebra and its Applications. 2019. V.18. N12. 1950223 :1-12. DOI: 10.1142/S0219498819502232 WOS Scopus OpenAlex
The structure of locally finite groups of finite c-dimension
Journal of Algebra and its Applications. 2019. V.18. N12. 1950223 :1-12. DOI: 10.1142/S0219498819502232 WOS Scopus OpenAlex
Dates:
| Accepted: | Nov 27, 2018 |
| Published print: | Feb 22, 2019 |
Identifiers:
| Web of science: | WOS:000495372300003 |
| Scopus: | 2-s2.0-85061917982 |
| OpenAlex: | W2902342538 |