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2006.298: Local limit theorems for free groups

2006.298: Richard Sharp (2001) Local limit theorems for free groups. Mathematische Annalen, 321 (4). pp. 889-904. ISSN 1432-1807

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DOI: 10.1007/s002080100258

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 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 58 Global analysis, analysis on manifolds
MIMS number:2006.298
Deposited By:Miss Louise Stait
Deposited On:15 August 2006

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