On some closure properties of the non-abelian tensor product

DOI10.1016/j.jalgebra.2016.10.045zbMath1362.20025arXiv1512.03017OpenAlexW2558143201MaRDI QIDQ729745

V. Z. Thomas, Manuel Ladra Gonzalez, Guram Donadze

Publication date: 22 December 2016

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

Full work available at URL: https://arxiv.org/abs/1512.03017

zbMATH Keywords

Schur multipliernon-abelian tensor product

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (9)

A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ Unnamed Item ⋮ Some generalisations of Schur's and Baer's theorem and their connection with homological algebra ⋮ Unnamed Item ⋮ Finiteness conditions for the box-tensor product of groups and related constructions ⋮ Finiteness of homotopy groups related to the non-abelian tensor product ⋮ Finiteness conditions for the non-abelian tensor product of groups ⋮ Schur's theorem and its relation to the closure properties of the non-abelian tensor product ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0

Cites Work

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• The non-Abelian tensor product of finite groups is finite
• Van Kampen theorems for diagrams of spaces
• Cohomologie et homologie non abéliennes des groupes. (Nonabelian cohomology and homology of groups)
• On the nilpotency class and solvability length of nonabelian tensor products of groups
• Computable algebra and group embeddings
• On the nonabelian tensor square of a \(2\)-Engel group
• A certain exact sequence
• THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF
• Non-abelian tensor products of solvable groups
• The non-abelian tensor product of polycyclic groups is polycyclic
• Groups Covered By Permutable Subsets

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