Tensor products of prime-power groups

DOI10.1016/S0022-4049(97)00112-6zbMath0959.20030OpenAlexW1994738300MaRDI QIDQ1295624

Aidan McDermott, Graham J. Ellis

Publication date: 1 May 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00112-6

zbMATH Keywords

finite \(p\)-groupsquaternion grouporder boundsnon-Abelian tensor products

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (19)

A Bound on the Order of Non-Abelian Tensor Square of a Prime-Power Group ⋮ A generalization of weak commutativity between two isomorphic groups ⋮ Three-Dimensional Presentations for the Groups of Order at Most 30 ⋮ On the triple tensor products of groups of order p⁴ ⋮ Groups of prime power order and their nonabelian tensor squares. ⋮ Corrigendum to: ``Probabilistic properties of the relative tensor degree of finite groups ⋮ A tensor product approach to compute 2-nilpotent multiplier of p-groups ⋮ Characterization of Finitep-Groups by Their Non-Abelian Tensor Square ⋮ On the triple tensor product of prime-power groups ⋮ On the relation between upper central quotients and lower central series of a group ⋮ Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group. ⋮ Powerful actions and non-abelian tensor products of powerful p-groups ⋮ Finiteness of homotopy groups related to the non-abelian tensor product ⋮ Unnamed Item ⋮ \(c\)-nilpotent multiplier of finite \(p\)-groups ⋮ On the third tensor power of a nilpotent group of class two ⋮ Computing the nonabelian tensor squares of polycyclic groups. ⋮ Some structural results on the non-abelian tensor square of groups ⋮ Unnamed Item

Cites Work

• Some computations of non-Abelian tensor products of groups
• The non-Abelian tensor product of finite groups is finite
• Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
• Van Kampen theorems for diagrams of spaces
• Cohomologie et homologie non abéliennes des groupes. (Nonabelian cohomology and homology of groups)
• On groups with a finite nilpotent upper central quotient
• On the tensor square of a prime power group
• Inequalities for Baer Invariants of Finite Groups
• On Peiffer central series
• On a construction related to the non-abelian tensor square of a group
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Tensor products of prime-power groups