From cssc-crossed modules to categorical groups

Datuashvili, Tamar; MUCUK, OSMAN; ALEMDAR, NAZMİYE; Şahan, Tunçar

doi:10.32513/asetmj/1932200824026

From cssc-crossed modules to categorical groups

Datuashvili T., MUCUK O., ALEMDAR N., Şahan T.

Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.17, sa.3, ss.1-24, 2024 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 17 Sayı: 3
Basım Tarihi: 2024
Doi Numarası: 10.32513/asetmj/1932200824026
Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.1-24
Anahtar Kelimeler: group up to congruence relation, c-crossed module, categorical group
Erciyes Üniversitesi Adresli: Evet

Özet

For any cssc-crossed module a category is constructed, equipped with a structure and proved that this is a coherent categorical group. Together with a result of the previous paper, where to any categorical group the cssc-crossed module is associated, this construction will enable us to prove an equivalence between the categories of categorical groups and of cssc-crossed modules in the sequel to this paper.