PreprintCC BY 4.0arXiv
Classification of skew left braces with additive group isomorphic to the infinite dihedral group
Abstract
We classify all skew left braces with additive group isomorphic to the infinite dihedral group. There are ten isomorphism classes.
Related
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- Kernel--wreath constructions and infinite families of finite simple skew braces
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- Classification of finite left-simple skew braces
BibTeX
@misc{hanaki2026classification,
title = {{Classification of skew left braces with additive group isomorphic to the infinite dihedral group}},
author = {Akihide Hanaki and Yuto Sakata and Hiroki Yoshino},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.29641},
eprint = {2606.29641},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.29641},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Classification of skew left braces with additive group isomorphic to the infinite dihedral group
AU - Akihide Hanaki
AU - Yuto Sakata
AU - Hiroki Yoshino
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2606.29641
UR - https://arxiv.org/abs/2606.29641
AB - We classify all skew left braces with additive group isomorphic to the infinite dihedral group. There are ten isomorphism classes.
ER -