Generating the mapping class group by torsion elements of small order

Research output: Contribution to journalArticle

3 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 languageEnglish
Pages (from-to)41-62
Number of pages22
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume154
Issue number1
DOIs
Publication statusPublished - Jan 1 2013
Externally publishedYes

Fingerprint

Mapping Class Group
Torsion
Genus
Closed

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Generating the mapping class group by torsion elements of small order. / Monden, Naoyuki.

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 154, No. 1, 01.01.2013, p. 41-62.

Research output: Contribution to journalArticle

@article{c9bdf510fc1a4ee3955fcf62b66cfc39,
title = "Generating the mapping class group by torsion elements of small order",
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.",
author = "Naoyuki Monden",
year = "2013",
month = "1",
day = "1",
doi = "10.1017/S0305004112000357",
language = "English",
volume = "154",
pages = "41--62",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "1",

}

TY - JOUR

T1 - Generating the mapping class group by torsion elements of small order

AU - Monden, Naoyuki

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84870912476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870912476&partnerID=8YFLogxK

U2 - 10.1017/S0305004112000357

DO - 10.1017/S0305004112000357

M3 - Article

AN - SCOPUS:84870912476

VL - 154

SP - 41

EP - 62

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -