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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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Growth series for the commutator subgroup
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by Mark Pollicott and Richard Sharp PDF
Proc. Amer. Math. Soc. 124 (1996), 1329-1335 Request permission

Abstract:

In this paper we study growth series associated to commutator subgroups of surface groups. We conclude that these growth series are not rational.
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Additional Information
  • Mark Pollicott
  • Affiliation: Department of Mathematics, Warwick University, Coventry, CV4 7AL, England
  • Address at time of publication: Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, England
  • MR Author ID: 140805
  • Richard Sharp
  • Affiliation: School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London, E1 4NS, England
  • Address at time of publication: Department of Mathematics, University of Manchester, Oxford Road, Man- chester M13 9PL, England
  • MR Author ID: 317352
  • Received by editor(s): April 1, 1994
  • Additional Notes: The first author was supported by The Royal Society through a University Research Fellowship.
    The second author was supported by the UK SERC under grant number GR/G51930.

  • Dedicated: Dedicated to William Parry on the occasion of his 60th birthday
  • Communicated by: Ronald M. Solomon
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1329-1335
  • MSC (1991): Primary 20F05, 58F15
  • DOI: https://doi.org/10.1090/S0002-9939-96-03362-X
  • MathSciNet review: 1327036