Sieve methods in group theory III:

Alexander Lubotzky; Chen Meiri

doi:10.1142/S0218196712500622

Sieve methods in group theory III:

Alexander Lubotzky, Chen Meiri

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

Let π : Aut(F_n) → Aut(ℤⁿ) be the epimorphism induced by the isomorphism Zⁿ ≅ F_n/F _n^′ and define T_n:= kerπ. We prove that the subset of T_n consisting of all non-irreducible with irreducible powers and all non-hyperbolic elements is exponentially small.

Original language	English
Article number	1250062
Journal	International Journal of Algebra and Computation
Volume	22
Issue number	7
DOIs	https://doi.org/10.1142/S0218196712500622
State	Published - Nov 2012

Keywords

Sieve
hyperbolic
iwip
property-τ

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/S0218196712500622

Cite this

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title = "Sieve methods in group theory III:",

abstract = "Let π : Aut(Fn) → Aut(ℤn) be the epimorphism induced by the isomorphism Zn ≅ Fn/F n′ and define Tn:= kerπ. We prove that the subset of Tn consisting of all non-irreducible with irreducible powers and all non-hyperbolic elements is exponentially small.",

keywords = "Sieve, hyperbolic, iwip, property-τ",

author = "Alexander Lubotzky and Chen Meiri",

note = "Funding Information: The authors are grateful to the ERC and the NSF for partial support.",

year = "2012",

month = nov,

doi = "10.1142/S0218196712500622",

language = "الإنجليزيّة",

volume = "22",

journal = "International Journal of Algebra and Computation",

issn = "0218-1967",

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T1 - Sieve methods in group theory III:

AU - Lubotzky, Alexander

AU - Meiri, Chen

N1 - Funding Information: The authors are grateful to the ERC and the NSF for partial support.

PY - 2012/11

Y1 - 2012/11

N2 - Let π : Aut(Fn) → Aut(ℤn) be the epimorphism induced by the isomorphism Zn ≅ Fn/F n′ and define Tn:= kerπ. We prove that the subset of Tn consisting of all non-irreducible with irreducible powers and all non-hyperbolic elements is exponentially small.

AB - Let π : Aut(Fn) → Aut(ℤn) be the epimorphism induced by the isomorphism Zn ≅ Fn/F n′ and define Tn:= kerπ. We prove that the subset of Tn consisting of all non-irreducible with irreducible powers and all non-hyperbolic elements is exponentially small.

KW - Sieve

KW - hyperbolic

KW - iwip

KW - property-τ

UR - http://www.scopus.com/inward/record.url?scp=84870616578&partnerID=8YFLogxK

U2 - 10.1142/S0218196712500622

DO - 10.1142/S0218196712500622

M3 - مقالة

SN - 0218-1967

VL - 22

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 7

M1 - 1250062

ER -

Sieve methods in group theory III:

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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