On subgroups and epimorphic images of finite \(p\)-groups

DOI10.1006/jabr.2001.8790zbMath0999.20013OpenAlexW2023571735MaRDI QIDQ1599079

Yakov G. Berkovich

Publication date: 4 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8790

zbMATH Keywords

finite \(p\)-groupsautomorphismssubgroup latticesmetacyclic groupsregular \(p\)-groups\(p\)-groups of maximal classcounting theorems

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items

On subgroups of finite \(p\)-groups., On finite \(p\)-groups with few nonabelian subgroups of order \(p^p\) and exponent \(p\)., Nonnormal and minimal nonabelian subgroups of a finite group., Finite 2-groups with a self-centralizing elementary Abelian subgroup of order 8., Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\), Finite \(p\)-groups with few minimal nonabelian subgroups., Hall chains in normal subgroups of finite \(p\)-groups., Alternate proofs of two theorems of Philip Hall on finite \(p\)-groups, and some related results.

Cites Work

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• On a special class of \(p\)-groups
• On the number of elements of given order in a finite \(p\)-group
• The \(2\)-groups of rank \(2\)
• Counting abelian subgroups of p-groups. A projective approach
• On \(p\)-groups of finite order
• Regular p-groups and groups of maximal class
• Limits of Abelian subgroups of finite \(p\)-groups
• On Abelian subgroups of \(p\)-groups
• Über die Anzahl der eigentlichen Untergruppen und der Elemente von gegebener Ordnung in \(p\)-Gruppen
• On the number of solutions of equation \(x^{p^ k}=1\) in a finite group
• On subgroups of finite \(p\)-groups
• Solvability of groups of odd order
• Generalisations of a classical theorem about nilpotent groups
• Finite groups with maximal normalizers
• An alternate proof of the Thompson replacement theorem
• Nonnormal subgroups of \(p\)-groups.
• 2-groups which contain exactly 3 involutions
• Note on a paper of Berkovich
• Über das Produkt von zwei abelschen Gruppen
• Sur les groupes factorisables par deux $2$-groupes cycliques, I. (cas oú leur groupe des commutateurs est cyclique)
• 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 Solutions of the Equation x p k = a in a Finite p-Group
• Some corollaries of Frobenius’ normal 𝑝-complement theorem
• Large Abelian Subgroups of p-Groups
• Two problems on finite groups with k conjugate classes
• Endliche Gruppen I
• A GENERALIZATION OF THE THEOREMS OF HALL AND BLACKBURN AND THEIR APPLICATIONS TO NONREGULAR $ p$-GROUPS
• Finite \(2\)-groups with small centralizer of an involution