Positive one-relator groups

Gilbert Baumslag

doi:10.1090/s0002-9947-1971-0274562-8

ScienceGate Book Chapters

JOURNAL ARTICLE

Positive one-relator groups

Gilbert Baumslag

Year: 1971 Journal: Transactions of the American Mathematical Society Vol: 156 (0)Pages: 165-183 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9947-1971-0274562-8

Get Full-Text PDF Get Analytical Report

Abstract

A group G which can be defined by a single relation in which there are no negative exponents is residually solvable. If G is also torsion-free then it is locally indicable and hence its integral group ring has no zero divisors.

Keywords:

Mathematics Torsion (gastropod) Pure mathematics Combinatorics Surgery

Metrics

Cited By

1.20

FWCI (Field Weighted Citation Impact)

Refs

0.79

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Positive one-relator groups

Abstract

Metrics

Citation History

Topics

Related Documents

Positive One-Relator Groups

The residual finiteness of positive one-relator groups

One-Relator Groups

The residual finiteness of positive one-relator groups

Residual Finiteness of Quasi-Positive One-Relator Groups