A polycyclic presentation for the \(q\)-tensor square of a polycyclic group

DOI10.1515/jgth-2019-0032zbMath1467.20040arXiv1706.07683OpenAlexW2973954681MaRDI QIDQ2285741

Ivonildes Ribeiro Martins Dias, Norai Romeu Rocco

Publication date: 8 January 2020

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07683

zbMATH Keywords

polycyclic presentation\(q\)-tensor squarenon-abelian tensor

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (1)

Some structural and closure properties of an extension of the q-tensor product of groups, q≥0

Uses Software

• GAP
• Polycyclic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some computations of non-Abelian tensor products of groups
• Q-perfect groups and universal Q-central extensions
• Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
• Computing the nonabelian tensor squares of polycyclic groups.
• Van Kampen theorems for diagrams of spaces
• Non-abelian tensor and exterior products modulo \(q\) and universal \(q\)- central relative extension
• On the q-tensor square of a group
• The q-tensor square of finitely generated nilpotent groups, q odd
• Tensor Products and q -Crossed Modules
• On a construction related to the non-abelian tensor square of a group

This page was built for publication: A polycyclic presentation for the \(q\)-tensor square of a polycyclic group