The exterior degree of a pair of finite groups.

DOI10.1007/S00009-013-0252-6zbMath1284.20077arXiv1101.4312OpenAlexW1981123018MaRDI QIDQ358223

Peyman Niroomand, Rashid Rezaei

Publication date: 16 August 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4312

zbMATH Keywords

finite \(p\)-groupsdihedral groupsSchur multiplierscapable groupsexterior productsexterior degreespairs of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Probabilistic methods in group theory (20P05)

Related Items (4)

Finite groups with few relative tensor or exterior degrees ⋮ Probabilistic properties of the relative tensor degree of finite groups. ⋮ Unnamed Item ⋮ Non-exterior square graph of finite group

Uses Software

• GAP
• HAP

Cites Work

• Unnamed Item
• Unnamed Item
• Some computations of non-Abelian tensor products of groups
• Van Kampen theorems for diagrams of spaces
• Cohomologie et groupe de Steinberg rélatifs
• The Schur multiplier of a pair of groups
• Isoclinism classes and commutativity degrees of finite groups
• Capability, homology, and central series of a pair of groups
• A remark on the commuting probability in finite groups.
• On the relation between upper central quotients and lower central series of a group
• On the Exterior Degree of Finite Groups
• On the Relative Commutativity Degree of a Subgroup of a Finite Group

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