Generators of the mapping class group of a nonorientable punctured surface

Let [Formula: see text] denote the mapping class group of a nonorientable surface of genus [Formula: see text] with [Formula: see text] punctures. For [Formula: see text], we show that [Formula: see text] can be generated by five elements or by six involutions.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-03-27
DOI
https://doi.org/10.1142/s0218216525500221
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

Generators of the mapping class group of a nonorientable punctured surface

Tüli̇n Altunöz, Mehmetci̇k Pamuk, Oğuz Yildiz
Journal of Knot Theory and Its Ramifications
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
article

Generators of the mapping class group of a nonorientable punctured surface

Tüli̇n Altunöz, Mehmetci̇k Pamuk, Oğuz Yildiz
article en

Abstract

Let [Formula: see text] denote the mapping class group of a nonorientable surface of genus [Formula: see text] with [Formula: see text] punctures. For [Formula: see text], we show that [Formula: see text] can be generated by five elements or by six involutions.

Journal of Knot Theory and Its RamificationsVol. 34(07)
Başkent University (TR), Middle East Technical University (TR)
Zero hunger
Openalex Percentile: Top 94%
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
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