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September 2009 The twist subgroup of the mapping class group of a nonorientable surface
Michał Stukow
Osaka J. Math. 46(3): 717-738 (September 2009).

Abstract

Let $\mathcal{T}(N)$ be the subgroup of the mapping class group of a nonorientable surface $N$ (possibly with punctures and/or boundary components) generated by twists about two-sided circles. We obtain a simple generating set for $\mathcal{T}(N)$. As an application we compute the first homology group (abelianization) of $\mathcal{T}(N)$.

Citation

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Michał Stukow. "The twist subgroup of the mapping class group of a nonorientable surface." Osaka J. Math. 46 (3) 717 - 738, September 2009.

Information

Published: September 2009
First available in Project Euclid: 26 October 2009

zbMATH: 1193.57009
MathSciNet: MR2583326

Subjects:
Primary: 57N05
Secondary: 20F38, 57M99

Rights: Copyright © 2009 Osaka University and Osaka City University, Departments of Mathematics

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Vol.46 • No. 3 • September 2009
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