Generating the mapping class group by torsion elements of small order

Naoyuki Monden

doi:10.1017/S0305004112000357

Generating the mapping class group by torsion elements of small order

Naoyuki Monden

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

7 Citations (Scopus)

Abstract

We show that the mapping class group of a closed, connected, oriented surface of genus at least three is generated by 3 elements of order 3. Moreover, we show that the mapping class group of a closed, connected, oriented surface of genus at least three is generated and by 4 elements of order 4.

Original language	English
Pages (from-to)	41-62
Number of pages	22
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	154
Issue number	1
DOIs	https://doi.org/10.1017/S0305004112000357
Publication status	Published - Jan 2013
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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abstract = "We show that the mapping class group of a closed, connected, oriented surface of genus at least three is generated by 3 elements of order 3. Moreover, we show that the mapping class group of a closed, connected, oriented surface of genus at least three is generated and by 4 elements of order 4.",

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Generating the mapping class group by torsion elements of small order

Abstract

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