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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 1

Peiffer pairings in multisimplicial groups and crossed n-cubes and applications for bisimplicial groups

Erdal ULUALAN
Özgün GÜRMEN ALANSAL
Pages
360–386
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

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

We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n- cube from an n-simplicial group in terms of these pairings.
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Key Findings & Data:We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n- cube from an n-simplicial group in terms of these pairings.
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Conclusion & Impact:We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n- cube from an n-simplicial group in terms of these pairings. We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.

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Cite This Article

ULUALAN, E., ALANSAL, Ö. G. (2022). Peiffer pairings in multisimplicial groups and crossed n-cubes and applications for bisimplicial groups. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 1, 360–386. https://ajindex.com/articles/607355

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