Non-abelian tensor products of solvable groups

DOI10.1515/jgth.2000.013zbMath0953.20019OpenAlexW2024059558MaRDI QIDQ4952408

I. N. Nakaoka

Publication date: 30 October 2000

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

Full work available at URL: https://doi.org/10.1515/jgth.2000.013

zbMATH Keywords

tensor productssolvable groupslower central seriesderived seriestensor squares

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14)

Related Items (17)

Unnamed Item ⋮ On the nonabelian tensor square and capability of groups of order \(8q\). ⋮ Non-abelian tensor product of residually finite groups ⋮ The q-tensor square of finitely generated nilpotent groups, q odd ⋮ On the structure of groups whose exterior or tensor square is a \(p\)-group. ⋮ On the nonabelian tensor square and capability of groups of order \(p^2q\). ⋮ Finiteness conditions for the box-tensor product of groups and related constructions ⋮ Powerful actions and non-abelian tensor products of powerful p-groups ⋮ The exponents of nonabelian tensor products of groups. ⋮ Finiteness of homotopy groups related to the non-abelian tensor product ⋮ THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF ⋮ The non-abelian tensor product of polycyclic groups is polycyclic ⋮ On some closure properties of the non-abelian tensor product ⋮ Finiteness conditions for the non-abelian tensor product of groups ⋮ Unnamed Item ⋮ Some structural and closure properties of an extension of the q-tensor product of groups, q≥0 ⋮ On the q-tensor square of a group

Cites Work

• Unnamed Item
• Unnamed Item
• The Ganea Map for Nilpotent Groups
• On a construction related to the non-abelian tensor square of a group

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