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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | JOURNAL ARTICLES |
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