From actions of an abelian group on itself to left braces
Abstract We present a construction of left braces of right nilpotency class at most two based on suitable actions of an abelian group on itself with an invariance condition. This construction allows us to recover the construction of a free right nilpotent one-generated left brace of class two.
Authors
- R. Esteban‐Romero (ORCID: https://orcid.org/0000-0002-2321-8139)
- V. Pérez-Calabuig (ORCID: https://orcid.org/0000-0003-4101-8656)
- Leonid A. Kurdachenko (ORCID: https://orcid.org/0000-0002-6368-7319)
- A. Ballester‐Bolinches (ORCID: https://orcid.org/0000-0002-2051-9075)
Institutions
- Universitat de València (ES)
- Oles Honchar Dnipro National University (UA)
Publication Details
- Journal
- Mathematical Proceedings of the Cambridge Philosophical Society
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1017/s0305004124000422
- Citations
- 2
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 7.38
Funders
- Engineering and Physical Sciences Research Council