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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 5

Group-2-groupoids and 2G-crossed modules

Nazmiye Alemdar0000-0002-0819-6613
Sedat Temel0000-0001-6553-8758
Pages
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Publication Date
2019-10-08
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then we prove that the category Gp2Gd of group-2-groupoids and the category 2GXMod of 2G-crossed modules are equivalent.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the notion of a group-2-groupoid as a group object in the category of 2-groupoids.
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Key Findings & Data:We also obtain a 2G-crossed module by using the structure of a group-2-groupoid.
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Conclusion & Impact:Then we prove that the category Gp2Gd of group-2-groupoids and the category 2GXMod of 2G-crossed modules are equivalent.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:group-2-groupoid · 2G-crossed module

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.

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Cite This Article

Alemdar, N., Temel, S. (2019). Group-2-groupoids and 2G-crossed modules. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 5. https://ajindex.com/articles/1402737

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