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.References
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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. - 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
Dedicated: Dedicated to William Parry on the occasion of his 60th birthday