On low dimensional cohomology of crossed modules with nontrivial coefficients

DOI10.32513/asetmj/193220082339zbMATH Open1542.18009MaRDI QIDQ6549915

Teimuraz Pirashvili, Guram Donadze

Publication date: 4 June 2024

Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

derivationscrossed modulesabelian extensions and second cohomology groupsmodules over crossed modules

Mathematics Subject Classification ID

2-groups, crossed modules, crossed complexes (18G45)

Cites Work

• Unnamed Item
• Combinatorial homotopy and 4-dimensional complexes
• (Co)homology of crossed modules with coefficients in a \(\pi_1\)-module
• CCG-homology of crossed modules via classifying spaces
• Crossed modules over operads and operadic cohomology
• Adjunction between crossed modules of groups and algebras
• A comonadic interpretation of Baues-Ellis homology of crossed modules
• Homotopical algebra
• Endomorphisms in short exact sequences
• Homology of 2-Types
• Comparison of MacLane, Shukla and Hochschild cohomologies
• Actions and automorphisms of crossed modules
• Combinatorial homotopy. II
• On (co)homology of 2-types and crossed modules
• (Co)Homology of crossed modules

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