Sharp, Richard (2001) Local limit theorems for free groups. Mathematische Annalen, 321 (4). pp. 889-904. ISSN 1432-1807
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Abstract
In this paper we obtain a local limit theorem for elements of a free group G under the abelianization map [·] :G ® G/[G,G]. This is obtained via an analysis involving subshifts of finite type, where we obtain a result of independent interest. The case of fundamental groups of compact surfaces of genus ³ 2 is also discussed.
| Item Type: | Article |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 58 Global analysis, analysis on manifolds |
| Depositing User: | Ms Lucy van Russelt |
| Date Deposited: | 15 Aug 2006 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/504 |
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