Title

On Almost Finitely Generated Nilpotent Groups

Abstract

A nilpotent group G is fgp if Gp is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp ⋍ Hp for all primes p. The fgp nilpotent groups form a (generalized) Serre class; the fg-like nilpotent groups do not. However, for abelian groups, a subgroup of an fg-like group is fg-like, and an extension of an fg-like group by an fg-like group is fg-like These properties persist for nilpotent groups with finite commutator subgroup, but fail in general. © 1996, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1996

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

19

Issue

3

Number of Pages

539-544

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171296000749

Socpus ID

0039270774 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0039270774

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