On subgroups of finite \(p\)-groups

DOI10.1006/jabr.1999.8004zbMath0953.20007OpenAlexW2752420061MaRDI QIDQ1975146

Yakov G. Berkovich

Publication date: 26 October 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8004

zbMATH Keywords

finite \(p\)-groupselementary Abelian subgroupssmall subgroupsgroups of odd order

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

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On the upper exponent of a finite \(p\)-group., Finite -groups all of whose proper subgroups have cyclic Frattini subgroups, Finite nilpotent groups whose cyclic subgroups are TI-subgroups, Nonnormal and minimal nonabelian subgroups of a finite group., On elements of order \(p\) in powerful \(p\)-groups., On Cernikov \(p\)-groups., Finite p-Groups in Which Any Two Noncommutative Elements Generate an Inner Abelian Group of Order p⁴, Finite \(p\)-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order \(\leq p\)., Finite \(2\)-groups with small centralizer of an involution, Finite \(p\)-groups all of whose proper subgroups have small derived subgroups., Finite \(2\)-groups with small centralizer of an involution. II, Finite groups with two noncomplemented subgroups., On equality of order of a finite \(p\)-group and order of its automorphism group., Alternate proofs of two theorems of Philip Hall on finite \(p\)-groups, and some related results., On subgroups and epimorphic images of finite \(p\)-groups

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