Positive One-Relator Groups
Open Access
- 1 May 1971
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 156, 165-183
- https://doi.org/10.2307/1995606
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
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