Space Groups and Groups of Prime-Power Order IV. Counterexamples to the Class-Breadth Conjecture

DOI10.1112/jlms/s2-24.1.113zbMath0426.20016OpenAlexW2090230933WikidataQ123190377 ScholiaQ123190377MaRDI QIDQ3861588

Waltraud Felsch, Joachim Neubüser, Wilhelm Plesken

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-24.1.113

zbMATH Keywords

class-breadth conjecturenilpotency class of a finite p-groupp- uniserial space groups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18) FC-groups and their generalizations (20F24)

Related Items (10)

Obituary: Joachim Neubüser (1932--2021) ⋮ A bound on the number of conjugacy classes of non-normal cyclic subgroups of a finite \(p\)-group ⋮ The origins of coclass theory ⋮ Spreads and nilpotence class in nilpotent groups and Lie algebras. ⋮ Finite groups ⋮ Generation of p-groups by elements of bounded breadth ⋮ The nilpotency class of \(p\)-groups in which subgroups have few conjugates. ⋮ The class-breadth conjecture revisited. ⋮ The breadth-degree type of a finite \(p\)-group ⋮ Some unsolvable conjectures in finite \(p\)-groups

This page was built for publication: Space Groups and Groups of Prime-Power Order IV. Counterexamples to the Class-Breadth Conjecture