scientific article; zbMATH DE number 7255217

zbMath1446.20074MaRDI QIDQ4969295

Ali Reza Salemkar, Tahereh Fakhr Taha

Publication date: 5 October 2020

Full work available at URL: http://cgasa.sbu.ac.ir/article_87437.html

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zbMATH Keywords

tensor productcrossed moduleexterior product

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Nonabelian homological algebra (category-theoretic aspects) (18G50) Extensions, wreath products, and other compositions of groups (20E22) Projectives and injectives (category-theoretic aspects) (18G05)

Related Items (1)

On the second homology of crossed modules

Cites Work

• Some computations of non-Abelian tensor products of groups
• The non-Abelian tensor product of finite groups is finite
• On some closure properties of the non-abelian tensor product
• Van Kampen theorems for diagrams of spaces
• On the nilpotency class and solvability length of nonabelian tensor products of groups
• Crossed modules and homology
• Some results on central extensions of crossed modules
• On the nonabelian tensor square of a \(2\)-Engel group
• The nilpotent multipliers of crossed modules
• The nonabelian tensor square of a \(2\)-generator \(p\)-group of class \(2\)
• Some results on stem covers of crossed modules
• On adding relations to homotopy groups
• The precise center of a crossed module
• On totally free crossed modules
• H₂(T, G, ∂) and central extensions for crossed modules
• Non-abelian tensor products of solvable groups
• The non-abelian tensor product of polycyclic groups is polycyclic
• The Second Homology Group of a Group; Relations among Commutators
• (Co)Homology of crossed modules
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