On the number of elements of given order in a finite \(p\)-group

DOI10.1007/BF02773429zbMath0734.20007MaRDI QIDQ810629

Yakov G. Berkovich

Publication date: 1991

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

ordersfinite \(p\)-groupsexponentsmaximal classnormal Abelian subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items

On the number of subgroups of given structure in a finite \(p\)-group ⋮ On Abelian subgroups of \(p\)-groups ⋮ On subgroups of finite \(p\)-groups ⋮ A characterization of \(A_5\) by same-order type ⋮ Remark on subgroup intersection graph of finite abelian groups ⋮ On subgroups and epimorphic images of finite \(p\)-groups

Cites Work

• On a special class of \(p\)-groups
• On \(p\)-groups of finite order
• Über die Anzahl der eigentlichen Untergruppen und der Elemente von gegebener Ordnung in \(p\)-Gruppen
• 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
• A GENERALIZATION OF THE THEOREMS OF HALL AND BLACKBURN AND THEIR APPLICATIONS TO NONREGULAR $ p$-GROUPS
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