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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Positive one-relator groups
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by Gilbert Baumslag PDF
Trans. Amer. Math. Soc. 156 (1971), 165-183 Request permission

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.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 156 (1971), 165-183
  • MSC: Primary 20.10
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0274562-8
  • MathSciNet review: 0274562