On Zn⋊Z2-Hopf-Galois structures

dc.contributor.author	ARVIND, NAMRATA	en_US
dc.contributor.author	PANJA, SAIKAT	en_US
dc.date.accessioned	2022-05-31T08:23:01Z
dc.date.available	2022-05-31T08:23:01Z
dc.date.issued	2022-04	en_US
dc.identifier.citation	Journal of Algebra, 596, 37-52.	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.issn	1090-266X	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2021.12.035	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7009
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Hopf-Galois structures	en_US
dc.subject	Field extensions	en_US
dc.subject	Holomorph	en_US
dc.subject	2022-MAY-WEEK3	en_US
dc.subject	TOC-MAY-2022	en_US
dc.subject	2022	en_US
dc.title	On Zn⋊Z2-Hopf-Galois structures	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US