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Title: | On Zn⋊Z2-Hopf-Galois structures |
Authors: | ARVIND, NAMRATA PANJA, SAIKAT Dept. of Mathematics |
Keywords: | Hopf-Galois structures Field extensions Holomorph 2022-MAY-WEEK3 TOC-MAY-2022 2022 |
Issue Date: | Apr-2022 |
Publisher: | Elsevier B.V. |
Citation: | Journal of Algebra, 596, 37-52. |
Abstract: | Let be a finite Galois extension of fields with . In an earlier work of Timothy Kohl, the author enumerated dihedral Hopf-Galois structures acting on dihedral extensions. The dihedral group is one particular example of a semidirect product of and . In this article we count the number of Hopf-Galois structures with Galois group Γ of type G, where are groups of the form when n is odd with radical of n being a Burnside number. As an application we also find the corresponding number of skew braces. |
URI: | https://doi.org/10.1016/j.jalgebra.2021.12.035 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7009 |
ISSN: | 0021-8693 1090-266X |
Appears in Collections: | JOURNAL ARTICLES |
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