Sieve methods in group theory II: The mapping class group

Alexander Lubotzky; Chen Meiri

doi:https://doi.org/10.1007/s10711-011-9662-4

Sieve methods in group theory II: The mapping class group

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

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
Externally published	Yes

Keywords

Mapping class group
Pseudo-Anosov elements
Random walks
Sieve methods

All Science Journal Classification (ASJC) codes

Geometry and Topology

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https://doi.org/10.1007/s10711-011-9662-4

Cite this

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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 = "https://doi.org/10.1007/s10711-011-9662-4",

language = "الإنجليزيّة",

volume = "159",

pages = "327--336",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1",

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T1 - Sieve methods in group theory II

T2 - The mapping class group

AU - Lubotzky, Alexander

AU - Meiri, Chen

PY - 2012/8

Y1 - 2012/8

N2 - We prove that the set of non-pseudo-Anosov elements in the Torelli group is exponentially small. This answers a question of Kowalski (2008).

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

KW - Mapping class group

KW - Pseudo-Anosov elements

KW - Random walks

KW - Sieve methods

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U2 - https://doi.org/10.1007/s10711-011-9662-4

DO - https://doi.org/10.1007/s10711-011-9662-4

M3 - مقالة

SN - 0046-5755

VL - 159

SP - 327

EP - 336

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Sieve methods in group theory II: The mapping class group

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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