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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the vanishing of the 2nd $L^2$-Betti number
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by Daniel T. Wise PDF
Proc. Amer. Math. Soc. 148 (2020), 3239-3244 Request permission

Abstract:

We relate the Adams Lemma, the residually finite rational solvable property, and the vanishing of the 2nd $L^2$-Betti number.
References
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Additional Information
  • Daniel T. Wise
  • Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, H3A 0B9 Canada
  • MR Author ID: 604784
  • ORCID: 0000-0003-0128-1353
  • Email: wise@math.mcgill.ca
  • Received by editor(s): October 2, 2019
  • Received by editor(s) in revised form: November 24, 2019, December 7, 2019, December 8, 2019, and December 9, 2019
  • Published electronically: March 30, 2020
  • Additional Notes: This research was supported by NSERC
  • Communicated by: David Futer
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3239-3244
  • MSC (2010): Primary 20F65, 20F67
  • DOI: https://doi.org/10.1090/proc/14967
  • MathSciNet review: 4108834