On the connection between Hopf-Galois structures and skew braces

Senne Trappeniers; Lorenzo Stefanello

doi:10.1112/blms.12815

On the connection between Hopf-Galois structures and skew braces

Senne Trappeniers, Lorenzo Stefanello

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

35 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1726-1748
Number of pages	23
Journal	Bulletin of the London Mathematical Society
Volume	55
Issue number	4
Early online date	25 Feb 2023
DOIs	https://doi.org/10.1112/blms.12815
Publication status	Published - Aug 2023

Bibliographical note

Funding Information:
The first author was a member of GNSAGA (INdAM). The second author was supported by Fonds voor Wetenschappelijk Onderzoek ‐ Vlaanderen, grant 1160522N.

Publisher Copyright:
© 2023 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

Copyright:
Copyright 2023 Elsevier B.V., All rights reserved.

Keywords

Skew brace
Hopf-Galois structure
Bi-skew brace

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On the connection between Hopf-Galois structures and skew braces

Abstract

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Keywords

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