Hopf-Galois realizability of Z(n) (sic) Z(2)

dc.contributor.author	ARVIND, NAMRATA	en_US
dc.contributor.author	PANJA, SAIKAT	en_US
dc.date.accessioned	2023-01-20T05:39:08Z
dc.date.available	2023-01-20T05:39:08Z
dc.date.issued	2023-04	en_US
dc.identifier.citation	Journal of Pure and Applied Algebra, 227(4), 107261.	en_US
dc.identifier.issn	0022-4049	en_US
dc.identifier.issn	1873-1376	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jpaa.2022.107261	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7562
dc.description.abstract	Let G and N be finite groups of order 2n where n is odd. We say the pair (G, N) is Hopf-Galois realizable if G is a regular subgroup of Hol(N) = N (sic) Aut(N). In this article we give necessary conditions on G (similarly N) when N (similarly G) is a group of the form Z(n) (sic) Z(2), for (G, N) to be realizable. Further we show that this condition is also sufficient if radical of n is a Burnside number. This classifies all skew braces which have the additive group (or the multiplicative group) isomorphic to Zn A Z2, in this case	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Hopf-Galois structures	en_US
dc.subject	Skew bracesRealizability	en_US
dc.subject	2023-JAN-WEEK1	en_US
dc.subject	TOC-JAN-2023	en_US
dc.subject	2023	en_US
dc.title	Hopf-Galois realizability of Z(n) (sic) Z(2)	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Pure and Applied Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US