Extending Witt's formula to free Abelian by nilpotent groups
type: Item
instance of: scholarly article
title: Extending Witt's formula to free Abelian by nilpotent groups
zbMATH Open document ID: 0692.20026
DOI: 10.1016/0021-8693(89)90326-8
author: Anthony Gaglione
author: Dennis Spellman
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: Formulas are established in this article for the ranks of the factors of the lower central series of a free finitely generated abelian by nilpotent group.
Mathematics Subject Classification ID: 20F14
Mathematics Subject Classification ID: 20F16
Mathematics Subject Classification ID: 20E22
zbMATH DE Number: 4132436
zbMATH Keywords: ranks
zbMATH Keywords: factors
zbMATH Keywords: lower central series
zbMATH Keywords: free finitely generated abelian by nilpotent group
reviewed by: Ju. I. Merzljakov
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90326-8
OpenAlex ID: W2028304311
cites work: Integration in free groups
cites work: Q3765961
cites work: Q3253828
cites work: Q5513066
cites work: Metabelsche Gruppen
cites work: Varieties of groups
cites work: Q5507607
Recommended article: An analog of Witt's formula for free solvable groups
Recommended article: Q4502597
Recommended article: Q5182367
Recommended article: Q3781260
Recommended article: Nielsen equivalence classes of free Abelianized extensions of groups.
Recommended article: The Abelianization of almost free groups
Recommended article: On the homology of free Abelianized extensions of finite groups
Recommended article: Q3778162
Recommended article: Nilpotent Extensions of Abelian p-GROUPS
Recommended article: On the nil groups of Waldhausen nils
description: scientific article; zbMATH DE number 4132436