Sieve methods in group theory II: The mapping class group

Alexander Lubotzky; Chen Meiri

doi:10.1007/s10711-011-9662-4

Sieve methods in group theory II: The mapping class group

Alexander Lubotzky
, Chen Meiri^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove that the set of non-pseudo-Anosov elements in the Torelli group is exponentially small. This answers a question of Kowalski (2008).

Original language	English
Pages (from-to)	327-336
Number of pages	10
Journal	Geometriae Dedicata
Volume	159
Issue number	1
DOIs	https://doi.org/10.1007/s10711-011-9662-4
State	Published - Aug 2012

Keywords

Mapping class group
Pseudo-Anosov elements
Random walks
Sieve methods

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10.1007/s10711-011-9662-4

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title = "Sieve methods in group theory II: The mapping class group",

abstract = "We prove that the set of non-pseudo-Anosov elements in the Torelli group is exponentially small. This answers a question of Kowalski (2008).",

keywords = "Mapping class group, Pseudo-Anosov elements, Random walks, Sieve methods",

author = "Alexander Lubotzky and Chen Meiri",

year = "2012",

month = aug,

doi = "10.1007/s10711-011-9662-4",

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volume = "159",

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journal = "Geometriae Dedicata",

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KW - Mapping class group

KW - Pseudo-Anosov elements

KW - Random walks

KW - Sieve methods

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JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Sieve methods in group theory II: The mapping class group

Abstract

Keywords

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