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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 6, Pages 1331–1342
DOI: https://doi.org/10.33048/smzh.2020.61.607 (Mi smj6053) 		 
Solvable groups of finite metabelian rank

O. Yu. Dashkova

Branch of Moscow State University in Sevastopol, Sevastopol, Russia
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DOI: https://doi.org/10.33048/smzh.2020.61.607
Abstract: Studying solvable nonabelian groups of finite metabelian rank, we construct an example of a solvable group of finite metabelian rank and infinite special rank. Also, we describe the structure of solvable groups of finite metabelian rank.
Keywords: solvable group, metabelian rank, special rank.
Received: 28.01.2020
Revised: 22.07.2020
Accepted: 10.08.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 6, Pages 1066–1074
DOI: https://doi.org/10.1134/S0037446620060075
Bibliographic databases:
Document Type: Article
UDC: 512.544
MSC: 35R30
Language: Russian
Citation: O. Yu. Dashkova, “Solvable groups of finite metabelian rank”, Sibirsk. Mat. Zh., 61:6 (2020), 1331–1342; Siberian Math. J., 61:6 (2020), 1066–1074
Citation in format AMSBIB
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\paper Solvable groups of finite metabelian rank
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\pages 1331--1342
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\transl
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    		Сибирский математический журнал Siberian Mathematical Journal
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