Positive One-Relator Groups

Gilbert Baumslag

doi:10.2307/1995606

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Positive One-Relator Groups

Gilbert Baumslag

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

DOI: 10.2307/1995606

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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 Pure mathematics Torsion (gastropod) Group ring Group (periodic table) Surgery

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Topics

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Positive One-Relator Groups

Abstract

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Citation History

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