Group-groupoid actions and liftings of crossed modules
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter de Gruyter GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Action Groupoid, Covering Groupoid, Group-Groupoid, Lifting Crossed Module
Kaynak
Georgian Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
