On the nonabelian tensor square and capability of groups of order \(p^2q\).

DOI10.1007/s00013-011-0304-8zbMath1238.20046OpenAlexW1977725167MaRDI QIDQ651387

Juan-Miguel Gracia

Publication date: 13 December 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0304-8

zbMATH Keywords

tensor productscapable groupsexterior squaresnonabelian tensor squaresexterior centerSchur multiplicator

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Cohomology of groups (20J06) Extensions, wreath products, and other compositions of groups (20E22) Central extensions and Schur multipliers (19C09)

Related Items (4)

An upper bound for the index of the center in capable groups with finite cyclic derived subgroups ⋮ On the nonabelian tensor square and capability of groups of order \(8q\). ⋮ On capable groups of order p2q ⋮ The Schur multiplier of pairs of groups of order \(p^2 q\)

Cites Work

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• Some structural results on the non-abelian tensor square of groups
• On the capability of groups
• Tensor Products and q -Crossed Modules
• Non-abelian tensor products of solvable groups
• Capability of nilpotent products of cyclic groups
• Capable 2-Generator 2-Groups of Class Two

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