Groups up to congruence relation and from categorical groups to c-crossed modules
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media Deutschland GmbH
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce a notion of c-group, which is a group up to congruence relation and consider the corresponding category. Extensions, actions and crossed modules (c-crossed modules) are defined in this category and the semi-direct product is constructed. We prove that each categorical group gives rise to a c-group and to a c-crossed module, which is a connected, special and strict c-crossed module in the sense defined by us. The results obtained here will be applied in the proof of an equivalence of the categories of categorical groups and connected, special and strict c-crossed modules.
Açıklama
Şahan, Tunçar ( Aksaray, Yazar )
Anahtar Kelimeler
Action, C-crossed Module, Categorical Group, Group up to Congruence Relation
Kaynak
Journal of Homotopy and Related Structures
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
15
Sayı
3-4
