Group-2-groupoids and 2G-crossed modules
Citation
Alemdar, N. & Temel, S. (2019). Group-2-groupoids and 2G-crossed modules. Hacettepe Journal of Mathematics and Statistics, 48(5), 1388-1397. https://doi.org/10.15672/HJMS.2018.580Abstract
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. Mathematics Subject Classification (2010). 18D05, 18D35, 20J15, 20L05
Source
Hacettepe Journal of Mathematics and StatisticsVolume
48Issue
5URI
https://doi.org/10.15672/HJMS.2018.580https://app.trdizin.gov.tr/makale/TXpNeE1qVTVPUT09
https://hdl.handle.net/11436/5567