Geodesic
A normal generating set for the Torelli group of a non-orientable closed surface
Susumu Hirose1 ; Ryoma Kobayashi2
1 Department of Mathematics Faculty of Science and Technology Tokyo University of Science Noda, Chiba, 278-8510, Japan
2 Department of General Education Ishikawa National College of Technology Tsubata, Ishikawa, 929-0392, Japan
Fundamenta Mathematicae, Tome 238 (2017) no. 1, pp. 29-51.

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For a closed surface $S$, its Torelli group $\mathcal {I}(S)$ is the subgroup of the mapping class group of $S$ consisting of elements acting trivially on $H_1(S;\mathbb {Z})$. When $S$ is orientable, a generating set for $\mathcal {I}(S)$ is known (see Powell (1978)). We give a normal generating set of $\mathcal {I}(N_g)$ for $g\geq 4$, where $N_g$ is a genus-$g$ non-orientable closed surface.
DOI : 10.4064/fm288-7-2016
Keywords: closed surface its torelli group mathcal subgroup mapping class group consisting elements acting trivially mathbb orientable generating set mathcal known see powell normal generating set mathcal geq where genus g non orientable closed surface

Susumu Hirose 1 ; Ryoma Kobayashi 2

1 Department of Mathematics Faculty of Science and Technology Tokyo University of Science Noda, Chiba, 278-8510, Japan
2 Department of General Education Ishikawa National College of Technology Tsubata, Ishikawa, 929-0392, Japan 
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Susumu Hirose; Ryoma Kobayashi. A normal generating set for the Torelli group of a non-orientable closed surface. Fundamenta Mathematicae, Tome 238 (2017) no. 1, pp. 29-51. doi : 10.4064/fm288-7-2016. http://geodesic.mathdoc.fr/articles/10.4064/fm288-7-2016/

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