On the number of subgroups of given structure in a finite \(p\)-group

DOI10.1007/BF01189883zbMath0818.20017MaRDI QIDQ1337785

Yakov G. Berkovich

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

minimal number of generators\(p\)-groups of maximal classAnzahlsätze for finite \(p\)-groups

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)

Related Items (1)

On Abelian subgroups of \(p\)-groups

Cites Work

• On a special class of \(p\)-groups
• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• On the number of elements of given order in a finite \(p\)-group
• Counting theorems for finite \(p\)-groups
• Finite groups with small character degrees and large prime divisors
• Note on a paper of Berkovich
• Generalizations of Certain Elementary Theorems on p -Groups
• On the Number of Subgroups of Given Order in a Finite p-Group of Exponent p
• On the Number of Subgroups of Given order and Exponent p in a Finite Irregular p -Group
• On the Number of Solutions of the Equation x p k = a in a Finite p-Group
• A Contribution to the Theory of Groups of Prime-Power Order
• On a Theorem of Frobenius

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