Group-2-groupoids and 2G-crossed modules

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info:eu-repo/semantics/openAccess

Date

2019

Author

Alemdar, Nazmiye
Temel, Sedat

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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.2018.580

Abstract

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 Statistics

Volume

48

Issue

5

URI

https://doi.org/10.15672/HJMS.2018.580
https://app.trdizin.gov.tr/makale/TXpNeE1qVTVPUT09
https://hdl.handle.net/11436/5567

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