On the Exterior Degree of Finite Groups

DOI10.1080/00927870903527568zbMath1227.20044OpenAlexW2032006001MaRDI QIDQ3081532

Rashid Rezaei, Peyman Niroomand

Publication date: 8 March 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903527568

zbMATH Keywords

finite groupsSchur multiplierscapable groupsexterior degreescommutativity degreesexterior centernonabelian exterior squaresexterior centralizers

Mathematics Subject Classification ID

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

Related Items (6)

The exterior degree of a pair of finite groups. ⋮ Finite groups with few relative tensor or exterior degrees ⋮ \(q\)-tensor and exterior centers, related degrees and capability ⋮ Characterizing finite \(p\)-groups by their Schur multipliers. ⋮ Numerical bounds for the exterior degree of finite simple groups ⋮ Non-exterior square graph of finite group

Uses Software

• GAP

Cites Work

• Unnamed Item
• Some computations of non-Abelian tensor products of groups
• Van Kampen theorems for diagrams of spaces
• Isoclinism classes and commutativity degrees of finite groups
• CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE
• What is the Probability that Two Group Elements Commute?
• Relative Number of Non-Invariant Operators in a Group

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