Group-groupoid actions and liftings of crossed modules
| dc.contributor.author | Mucuk, Osman | |
| dc.contributor.author | Şahan, Tunçar | |
| dc.date.accessioned | 13.07.201910:50:10 | |
| dc.date.accessioned | 2019-07-16T08:26:05Z | |
| dc.date.available | 13.07.201910:50:10 | |
| dc.date.available | 2019-07-16T08:26:05Z | |
| dc.date.issued | 2019 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | The aim of this paper is to define the notion of lifting via a group morphism for a crossed module and give some properties of this type of liftings. Further, we obtain a criterion for a crossed module to have a lifting crossed module. We also prove that the category of the lifting crossed modules of a certain crossed module is equivalent to the category of group-groupoid actions on groups, where the group-groupoid corresponds to the crossed module. © 2018 Walter de Gruyter GmbH, Berlin/Boston. | |
| dc.identifier.doi | 10.1515/gmj-2018-0001 | |
| dc.identifier.issn | 1072-947X | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://dx.doi.org/10.1515/gmj-2018-0001 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/3121 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Walter de Gruyter GmbH | |
| dc.relation.ispartof | Georgian Mathematical Journal | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Action Groupoid | |
| dc.subject | Covering Groupoid | |
| dc.subject | Group-Groupoid | |
| dc.subject | Lifting Crossed Module | |
| dc.title | Group-groupoid actions and liftings of crossed modules | |
| dc.type | Article |
