Finiteness conditions for the non-abelian tensor product of groups

DOI10.1007/s00605-017-1143-xzbMath1499.20076arXiv1611.07467OpenAlexW3103916975MaRDI QIDQ1799324

I. N. Nakaoka, Raimundo A. Bastos, Norai Romeu Rocco

Publication date: 18 October 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07467

zbMATH Keywords

locally finite groupslocal propertiesnon-abelian tensor product of groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Cohomology of groups (20J06) Local properties of groups (20E25)

Related Items (5)

Boundedly finite conjugacy classes of tensors ⋮ Advances on a construction related to the non-abelian tensor square of a group ⋮ Finiteness conditions for the box-tensor product of groups and related constructions ⋮ Finiteness of homotopy groups related to the non-abelian tensor product ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of groups whose exterior or tensor square is a \(p\)-group.
• The non-abelian tensor square of residually finite groups
• 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
• Two generalizations of the nonabelian tensor product.
• Some structural results on the non-abelian tensor square of groups
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A presentation for a crossed embedding of finite solvable groups
• Applications of Lie ring methods to group theory
• THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF
• Non-abelian tensor products of solvable groups
• On a construction related to the non-abelian tensor square of a group
• On a Result of Baer

This page was built for publication: Finiteness conditions for the non-abelian tensor product of groups