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Generating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surface
Abstract
We give two small generating sets for the subgroup of the mapping class group of a non-orientable closed surface which is generated by Dehn twists and acts trivially on the ℤ2 coefficient first homology group of the surface.
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BibTeX
@misc{kobayashi2026generating,
title = {{Generating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surface}},
author = {Ryoma Kobayashi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18433},
eprint = {2609.18433},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18433},
}
RIS
TY - UNPB
TI - Generating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surface
AU - Ryoma Kobayashi
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18433
UR - https://arxiv.org/abs/2609.18433
AB - We give two small generating sets for the subgroup of the mapping class group of a non-orientable closed surface which is generated by Dehn twists and acts trivially on the ℤ_2 coefficient first homology group of the surface.
ER -