On some generating set of Thompson’s group F

Gili Golan Polak; Mark Sapir

doi:10.1007/s40863-023-00360-0

On some generating set of Thompson’s group F

Gili Golan Polak, Mark Sapir

Department of Mathematics

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

1 Scopus citations

Abstract

We prove that Thompson’s group F has a generating set with two elements such that every two powers of them generate a finite index subgroup of F.

Original language	English
Pages (from-to)	866-880
Number of pages	15
Journal	Sao Paulo Journal of Mathematical Sciences
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/s40863-023-00360-0
State	Published - 1 Dec 2024

Keywords

Closed subgroups
Generating set
Thompson’s group F

ASJC Scopus subject areas

General Mathematics
Statistics, Probability and Uncertainty
Computational Theory and Mathematics

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10.1007/s40863-023-00360-0

Cite this

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title = "On some generating set of Thompson{\textquoteright}s group F",

abstract = "We prove that Thompson{\textquoteright}s group F has a generating set with two elements such that every two powers of them generate a finite index subgroup of F.",

keywords = "Closed subgroups, Generating set, Thompson{\textquoteright}s group F",

author = "{Golan Polak}, Gili and Mark Sapir",

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AU - Sapir, Mark

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PY - 2024/12/1

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AB - We prove that Thompson’s group F has a generating set with two elements such that every two powers of them generate a finite index subgroup of F.

KW - Closed subgroups

KW - Generating set

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JO - Sao Paulo Journal of Mathematical Sciences

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IS - 2

ER -

On some generating set of Thompson’s group F

Abstract

Keywords

ASJC Scopus subject areas

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