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

DOI10.3906/mat-1912-75zbMath1493.18005OpenAlexW3124638650MaRDI QIDQ5100209

Erdal Ulualan, Özgün Gürmen Alansal

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1912-75

zbMATH Keywords

crossed modulescrossed complexescrossed squaresbisimplicial groups

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40)

Cites Work

• Modules croisés généralisés de longueur 2
• Peiffer elements in simplicial groups and algebras
• Van Kampen theorems for diagrams of spaces
• Higher-dimensional crossed modules and the homotopy groups of \((n+1)\)- ads
• Spaces with finitely many non-trivial homotopy groups
• Group-theoretic algebraic models for homotopy types
• Freeness conditions for 2-crossed modules of commutative algebras
• Simplicial and crossed Lie algebras
• \(n\)-types of simplicial groups and crossed \(n\)-cubes
• Simplicial methods and the interpretation of “triple” cohomology
• Combinatorial homotopy. II
• On the van Kampen theorem
• Iterated Peiffer pairings in the Moore complex of a simplicial group
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