On the nonabelian tensor square and capability of groups of order \(8q\).

DOI10.1016/j.indag.2013.03.005zbMath1282.20024OpenAlexW1999348088MaRDI QIDQ391065

Mohammad Hasan, H. S. Yoon

Publication date: 9 January 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2013.03.005

zbMATH Keywords

finite groupstensor productsSchur multiplierscapable groupsexterior squaresgroups of order \(8q\)nonabelian tensor squares

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Projective representations and multipliers (20C25) Central extensions and Schur multipliers (19C09)

Related Items (3)

The Schur multiplier of pairs of groups of order \(p^2 q\) ⋮ Computing the nonabelian tensor squares of groups of order \(p^3q\) ⋮ Unnamed Item

Uses Software

• GAP

Cites Work

• Some computations of non-Abelian tensor products of groups
• On the nonabelian tensor square and capability of groups of order \(p^2q\).
• A note on the exterior centralizer.
• On normal subgroups of capable groups
• Van Kampen theorems for diagrams of spaces
• On groups occurring as center factor groups
• A certain exact sequence
• On the Isomorphism of Group Algebras of Groups of Order 8Q
• On the capability of groups
• Tensor Products and q -Crossed Modules
• Non-abelian tensor products of solvable groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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