On the degree of commutativity of \(p\)-groups of maximal class.

DOI10.1016/J.JPAA.2010.02.032zbMath1215.20020OpenAlexW2141419108MaRDI QIDQ710558

M. A. García-Sánchez, Leyre Ormaetxea, Antonio Vera-López, Jesus Maria Arregi

Publication date: 19 October 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.032

zbMATH Keywords

finite \(p\)-groupslower central series\(p\)-groups of maximal classdegrees of commutativity

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• On p-groups of maximal class
• On a special class of \(p\)-groups
• The exact bounds for the degree of commutativity of a \(p\)-group of maximal class. II.
• The exact bounds for the degree of commutativity of a \(p\)-group of maximal class. I
• The exact lower bound for the degree of commutativity of a \(p\)-group of maximal class
• ON p-GROUPS OF MAXIMAL CLASS I
• ON p-GROUPS OF MAXIMAL CLASS II
• Some bounds for the degree of commutativity of a p-group of maximal class, III
• On the abundance of finite p-groups
• Some bounds for the degree of commutativity of a p-group of maximal class, ii

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