Generalization of the basis property on finite groups

DOI10.1142/S1793557121501114zbMath1491.20048OpenAlexW3044946787MaRDI QIDQ5164633

Ahmad al Khalaf, Ibrahim Al-Dayel

Publication date: 12 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501114

zbMATH Keywords

basis propertygeneration propertyabelian \(P\)-group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Basis properties for inverse semigroups
• A basis theorem for free inverse semigroups
• Groups with the basis property.
• Finite Groups in Which Every Element Has Prime Power Order
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Finite Groups with Nilpotent Centralizers
• Endliche Gruppen I
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