The Schur Multiplier of a Nilpotent Group

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 291, page 755 (issn: 0002-9947,

Copyright policy )

Authors: Webb, Ursula Martin;

doi: 10.2307/2000108 , 10.1090/s0002-9947-1985-0800261-7

The Schur Multiplier of a Nilpotent Group

- Summary
- Subjects
- Metrics

Abstract

In this paper we obtain upper and lower bounds for the rank of the Schur multiplier of a nilpotent group in terms of the nilpotency class and the number of generators and rank of the derived quotient.

Keywords

Homological methods in group theory, Generators, relations, and presentations of groups, Schur multiplier, number of generators, nilpotency class, nilpotent group, Nilpotent groups, torsion-free rank, lower central series

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average