On the connection between Hopf--Galois structures and skew braces
Number Theory
2023-02-28 v4 Group Theory
Rings and Algebras
Abstract
We present a different version of the well-known connection between Hopf--Galois structures and skew braces, building on a recent paper of A. Koch and P. J. Truman. We show that the known results that involve this connection easily carry over to this new perspective, and that new ones naturally appear. As an application, we present new insights on the study of the surjectivity of the Hopf--Galois correspondence, explaining in more detail the role of bi-skew braces in Hopf--Galois theory.
Keywords
Cite
@article{arxiv.2206.07610,
title = {On the connection between Hopf--Galois structures and skew braces},
author = {L. Stefanello and S. Trappeniers},
journal= {arXiv preprint arXiv:2206.07610},
year = {2023}
}
Comments
Published in the Bulletin of the London Mathematical Society