Group-2-groupoids and 2G-crossed modules


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ALEMDAR N. , Temel S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, ss.1388-1397, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2018.580
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1388-1397

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.