p-GROUPS WITH CYCLIC OR GENERALISED QUATERNION HUGHES SUBGROUPS: CLASSIFYING TIDY p-GROUPS

DOI10.1017/S000497272300031XzbMath1526.20029OpenAlexW4366598689MaRDI QIDQ6069298

Nicolas F. Beike, Rachel Carleton, Colin Heath, Kaiwen Lu, J. D. Pearce, Mark L. Lewis, David G. Costanzo

Publication date: 14 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497272300031x

zbMATH Keywords

Hughes subgrouptidy \(p\)-group

Mathematics Subject Classification ID

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

Cites Work

• On counterexamples to the Hughes conjecture.
• The \(H_p\)-problem and the structure of \(H_p\)-groups
• Partial Difference Sets
• On a Problem of D. R. Hughes
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