Two generalizations of the nonabelian tensor product.

DOI10.1016/j.jalgebra.2012.07.017zbMath1277.20026arXiv1106.2136OpenAlexW2031682206MaRDI QIDQ1946102

Manuel Ladra Gonzalez, V. Z. Thomas

Publication date: 17 April 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.2136

zbMATH Keywords

homology of groupsnonabelian tensor productsbox tensor products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) FC-groups and their generalizations (20F24)

Related Items (3)

Finiteness conditions for the box-tensor product of groups and related constructions ⋮ Finiteness conditions for the non-abelian tensor product of groups ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0

Uses Software

• GAP

Cites Work

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• Some computations of non-Abelian tensor products of groups
• The non-Abelian tensor product of finite groups is finite
• Van Kampen theorems for diagrams of spaces
• Higher-dimensional crossed modules and the homotopy groups of \((n+1)\)- ads
• On the nilpotency class and solvability length of nonabelian tensor products of groups
• Nonabelian tensor products and nonabelian homology of groups
• The non-abelian tensor product of groups and related constructions
• THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF

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