Cohomology, Extensions and Automorphisms of Skew Braces
Group Theory
2021-05-06 v2 Rings and Algebras
Abstract
The second cohomology group of a left skew brace with coefficients in a trivial left brace with non-trivial actions is defined, its connection with extensions of a left skew brace by a trivial braces is established and a Wells' like exact sequence relating the second cohomology group with inducible automorphisms of an extension of left skew braces is constructed.
Keywords
Cite
@article{arxiv.2102.12235,
title = {Cohomology, Extensions and Automorphisms of Skew Braces},
author = {Nishant and Manoj K. Yadav},
journal= {arXiv preprint arXiv:2102.12235},
year = {2021}
}
Comments
24 pages, Comments are welcome