Group-2-groupoids and 2G-crossed modules

ALEMDAR N., Temel S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.5, ss.1388-1397, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2018.580
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1388-1397
  • Anahtar Kelimeler: group-2-groupoid, 2G-crossed module, CROSSED-MODULES, GROUPOIDS
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the notion of a group-2-groupoid as a group object in the category of 2-groupoids. We also obtain a 2G-crossed module by using the structure of a group-2-groupoid. Then we prove that the category GP2GD of group-2-groupoids and the category 2GXMoD of 2G-crossed modules are equivalent.