On groups of finite rank
Wehrfritz, B. A. F. (Queen Mary University of London. School of Mathematical Sciences)

Date:	2021
Abstract:	We study the structure of groups of finite (Prufer) 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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Finite pr¨ufer rank ; Generalized soluble ; Generalized finite groups
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 599-613 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/390242
DOI: 10.5565/PUBLMAT6522106

15 p, 305.3 KB

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