S. N. Chernikov and the development of infinite group theory

In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and results of S.N.Chernikov on the modern theory of infinite groups.

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Datum:2018
Hauptverfasser: Dixon, M. R., Kirichenko, V. V., Kurdachenko, L. A., Otal, J., Semko, N. N., Shemetkov, L. A., Subbotin, I. Ya.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/700
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-7002018-04-04T09:53:26Z S. N. Chernikov and the development of infinite group theory Dixon, M. R. Kirichenko, V. V. Kurdachenko, L. A. Otal, J. Semko, N. N. Shemetkov, L. A. Subbotin, I. Ya. infinite groups, finiteness conditions, generalized soluble groups, generalized nilpotent groups, Chernikov groups, FC – groups, CC – groups 20-00, 20B07, 20C07, 20E15, 20E07, 20E25, 20E26, 20E28, 20E34,20E36, 20E45, 20F14, 20F16, 20F18, 20F19, 20F22, 20F24, 20F50 In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and results of S.N.Chernikov on the modern theory of infinite groups. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/700 Algebra and Discrete Mathematics; Vol 13, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/700/233 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T09:53:26Z
collection OJS
language English
topic infinite groups
finiteness conditions
generalized soluble groups
generalized nilpotent groups
Chernikov groups
FC – groups
CC – groups
20-00
20B07
20C07
20E15
20E07
20E25
20E26
20E28
20E34,20E36
20E45
20F14
20F16
20F18
20F19
20F22
20F24
20F50
spellingShingle infinite groups
finiteness conditions
generalized soluble groups
generalized nilpotent groups
Chernikov groups
FC – groups
CC – groups
20-00
20B07
20C07
20E15
20E07
20E25
20E26
20E28
20E34,20E36
20E45
20F14
20F16
20F18
20F19
20F22
20F24
20F50
Dixon, M. R.
Kirichenko, V. V.
Kurdachenko, L. A.
Otal, J.
Semko, N. N.
Shemetkov, L. A.
Subbotin, I. Ya.
S. N. Chernikov and the development of infinite group theory
topic_facet infinite groups
finiteness conditions
generalized soluble groups
generalized nilpotent groups
Chernikov groups
FC – groups
CC – groups
20-00
20B07
20C07
20E15
20E07
20E25
20E26
20E28
20E34,20E36
20E45
20F14
20F16
20F18
20F19
20F22
20F24
20F50
format Article
author Dixon, M. R.
Kirichenko, V. V.
Kurdachenko, L. A.
Otal, J.
Semko, N. N.
Shemetkov, L. A.
Subbotin, I. Ya.
author_facet Dixon, M. R.
Kirichenko, V. V.
Kurdachenko, L. A.
Otal, J.
Semko, N. N.
Shemetkov, L. A.
Subbotin, I. Ya.
author_sort Dixon, M. R.
title S. N. Chernikov and the development of infinite group theory
title_short S. N. Chernikov and the development of infinite group theory
title_full S. N. Chernikov and the development of infinite group theory
title_fullStr S. N. Chernikov and the development of infinite group theory
title_full_unstemmed S. N. Chernikov and the development of infinite group theory
title_sort s. n. chernikov and the development of infinite group theory
description In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and results of S.N.Chernikov on the modern theory of infinite groups.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/700
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AT semkonn snchernikovandthedevelopmentofinfinitegrouptheory
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first_indexed 2025-07-17T10:32:05Z
last_indexed 2025-07-17T10:32:05Z
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