On Nielsen equivalence classes of two‐element generators of mapping class groups

Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-07-23
DOI
https://doi.org/10.1112/blms.70454
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

On Nielsen equivalence classes of two‐element generators of mapping class groups

Naoyuki Monden, Susumu Hirose
Bulletin of the London Mathematical Society
Geometric and Algebraic Topology
article

On Nielsen equivalence classes of two‐element generators of mapping class groups

Naoyuki Monden, Susumu Hirose
article en

Abstract

Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.

Bulletin of the London Mathematical SocietyVol. 58(8)
Okayama University of Science (JP), Tokyo University of Science (JP)
Japan Society for the Promotion of Science
Reduced inequalities
Openalex Percentile: Top 5%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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On Nielsen equivalence classes of two‐element generators of mapping class groups — Naoyuki Monden, Susumu Hirose · Bulletin of the London Mathematical Society (2026) | TGRS Research Map | TGRS