Words have bounded width in SL(n,Z)

Nir Avni; Chen Meiri

doi:10.1112/S0010437X19007334

Words have bounded width in SL(n,Z)

Nir Avni, Chen Meiri

Mathematics

Technion - Israel Institute of Technology

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

Abstract

We prove two results about the width of words in . The first is that, for every , there is a constant such that the width of any word in is less than . The second result is that, for any word , if is big enough, the width of in is at most 87.

Original language	English
Pages (from-to)	1245-1258
Number of pages	14
Journal	Compositio Mathematica
Volume	155
Issue number	7
DOIs	https://doi.org/10.1112/S0010437X19007334
State	Published - 1 Jan 2019

Keywords

arithmetic groups
word width

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1112/S0010437X19007334

Cite this

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title = "Words have bounded width in SL(n,Z)",

abstract = "We prove two results about the width of words in . The first is that, for every , there is a constant such that the width of any word in is less than . The second result is that, for any word , if is big enough, the width of in is at most 87.",

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DO - 10.1112/S0010437X19007334

M3 - مقالة

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JO - Compositio Mathematica

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Words have bounded width in SL(n,Z)

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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