Growth series for the commutator subgroup
Authors:
Mark Pollicott and Richard Sharp
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
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Abstract | References | Similar Articles | Additional Information
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
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
DOI:
https://doi.org/10.1090/S0002-9939-96-03362-X
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
Article copyright:
© Copyright 1996
American Mathematical Society