On some generating set of Thompson’s group F: On some generating set of Thompson’s group F

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 .

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Bibliographic Details
Published in:São Paulo Journal of Mathematical Sciences 2024, Vol.18 (2), p.866-880
Main Authors: Golan Polak, Gili, Sapir, Mark
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Memorial Volume for Sasha Anan’in
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Summary: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 .
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-023-00360-0