A GENERALIZATION OF THE THEOREMS OF HALL AND BLACKBURN AND THEIR APPLICATIONS TO NONREGULAR $ p$-GROUPS

DOI10.1070/IM1971v005n04ABEH001118zbMath0257.20014OpenAlexW1983569712MaRDI QIDQ5673075

Yakov G. Berkovich

Publication date: 1972

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/izv/v35/i4/p800

zbMATH Keywords

\(p\)-groupexistence of normal subgroups of prime exponentfactorization of \(p\)-groups with absolutely regular Frattini subgroupnumber of subgroups of maximal class in a \(p\)-group

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

On Abelian subgroups of \(p\)-groups ⋮ On subgroups of finite \(p\)-groups ⋮ On the Hughes conjecture ⋮ Frattini subgroups and supernilpotent groups ⋮ Two-generator Frattini subgroups of finite p-groups ⋮ On nonnilpotent inseparable groups of order \(p^nq^m\) ⋮ On subgroups and epimorphic images of finite \(p\)-groups ⋮ On the number of elements of given order in a finite \(p\)-group

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