Solvable groups of finite metabelian rank

O. Yu. Dashkova

Branch of Moscow State University in Sevastopol, Sevastopol, Russia

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.

UDC: 512.544

MSC: 35R30

Received: 28.01.2020
Revised: 22.07.2020
Accepted: 10.08.2020

DOI: 10.33048/smzh.2020.61.607

 English version: Siberian Mathematical Journal, 2020, 61:6, 1066–1074

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