Categorizing finite p-groups by the order of their non-abelian tensor squares

DOI10.1142/S021949881650095XzbMath1339.20017OpenAlexW1896225101MaRDI QIDQ2801840

S. Hadi Jafari

Publication date: 22 April 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881650095x

zbMATH Keywords

finite \(p\)-groupsSchur multipliersorder boundscapable groupsnon-Abelian tensor squares

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Cohomology of groups (20J06) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15) Central extensions and Schur multipliers (19C09)

Related Items (5)

A tensor product approach to compute 2-nilpotent multiplier of p-groups ⋮ On the triple tensor product of prime-power groups ⋮ On the capability of finitep-groups with derived subgroup of orderp ⋮ Unnamed Item ⋮ The Schur multiplier of groups of order \(p^5\)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Group extensions, representations, and the Schur multiplicator
• The nonabelian tensor square of a \(2\)-generator \(p\)-group of class \(2\)
• Derived subgroups and centers of capable groups
• SOME PROPERTIES OF TENSOR CENTRE OF GROUPS
• Two-generator two-groups of class two and their nonabelian tensor squares
• The Groups of Order p 6 (p and Odd Prime)
• On the capability of groups
• Tensor Products and q -Crossed Modules
• CHARACTERIZATION OF FINITE p-GROUPS BY THEIR SCHUR MULTIPLIERS
• On a construction related to the non-abelian tensor square of a group

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