On the Hughes conjecture

DOI10.1016/0021-8693(75)90192-1zbMath0304.20013OpenAlexW2000231442WikidataQ122943651 ScholiaQ122943651MaRDI QIDQ1216679

Joseph A. Gallian

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90192-1

Mathematics Subject Classification ID

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

Related Items (4)

Classification of 2-generator finite metabelian p-groups having a proper \(H_ p\)-subgroup ⋮ Operators of fibered groups ⋮ More on the Hughes conjecture ⋮ A Meier-Wunderli theorem for \(H_ p\)-subgroups

Cites Work

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• On a special class of \(p\)-groups
• Generalizations of a theorem of N. Blackburn on \(p\)-groups
• The \(H_p\)-problem and the structure of \(H_p\)-groups
• Regular p-groups
• Metabelsche Gruppen
• Partial Difference Sets
• On a Problem of D. R. Hughes
• Generalizations of Certain Elementary Theorems on p -Groups
• The Hughes Problem and others
• Nearly Regular p-Groups
• On the H p -Problem for Finite p-Groups
• Solution of the Hughes Problem for Finite p-Groups of Class 2p - 2
• Endliche Gruppen I
• The H p -Problem for Groups with Certain Central Factors Cyclic
• A GENERALIZATION OF THE THEOREMS OF HALL AND BLACKBURN AND THEIR APPLICATIONS TO NONREGULAR $ p$-GROUPS

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