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2021 On groups of finite rank
B. A. F. Wehrfritz
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Publ. Mat. 65(2): 599-613 (2021). DOI: 10.5565/PUBLMAT6522106

Abstract

We study the structure of groups of finite (Prüfer) rank in a very wide class of groups and also of central extensions of such groups. As a result we are able to improve, often substantially, on a number of known numerical bounds, in particular on bounds for the rank (resp.\ Hirsch number) of the derived subgroup of a group in terms of the rank (resp.\ Hirsch number) of its central quotient and on bounds for the rank of a group in terms of its Hirsch number.

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B. A. F. Wehrfritz. "On groups of finite rank." Publ. Mat. 65 (2) 599 - 613, 2021. https://doi.org/10.5565/PUBLMAT6522106

Information

Received: 7 January 2020; Revised: 4 May 2020; Published: 2021
First available in Project Euclid: 21 June 2021

Digital Object Identifier: 10.5565/PUBLMAT6522106

Subjects:
Primary: 20E34, 20F19, 20F22

Rights: Copyright © 2021 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.65 • No. 2 • 2021
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