Nejabati Zenouz, Kayvan ORCID: 0000-0003-3285-9410 (2019) Skew braces and Hopf–Galois structures of Heisenberg type. Journal of Algebra, 524. pp. 187-225. ISSN 0021-8693 (doi:https://doi.org/10.1016/j.jalgebra.2019.01.012)

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Abstract

We classify all skew braces of Heisenberg type for a prime number p. Furthermore, we determine the automorphism group of each one of these skew braces (as well as their socle and annihilator). Hence, by utilising a link between skew braces and Hopf–Galois theory, we can determine all Hopf–Galois structures of Heisenberg type on Galois field extensions of fields of degree p3.

Item Type:	Article
Uncontrolled Keywords:	skew braces, Hopf–Galois structures, Heisenberg group, field extensions, the Yang–Baxter equation
Subjects:	Q Science > QA Mathematics
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) Faculty of Engineering & Science
Last Modified:	04 Mar 2022 13:06
URI:	http://gala.gre.ac.uk/id/eprint/24842

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