Cohomology, Extensions and Automorphisms of Skew Braces
arXiv:2102.12235
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.
24 pages, Comments are welcome