The class-breadth conjecture revisited.

DOI10.1016/j.jalgebra.2006.03.010zbMath1108.20014OpenAlexW2066729461WikidataQ123148807 ScholiaQ123148807MaRDI QIDQ2496873

Bettina Eick, E. A. O'Brien, M. F. Newman

Publication date: 20 July 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.03.010

zbMATH Keywords

finite \(p\)-groupsLie algebrasnilpotence classeseffective algorithmsclass-breadth conjectureuniserial space groups

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Other geometric groups, including crystallographic groups (20H15) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18) Modular Lie (super)algebras (17B50)

Related Items (4)

\(p\)-groups with maximal elementary Abelian subgroups of rank 2. ⋮ The nilpotency class of \(p\)-groups in which subgroups have few conjugates. ⋮ The breadth-degree type of a finite \(p\)-group ⋮ Some unsolvable conjectures in finite \(p\)-groups

Uses Software

• GAP
• Magma

Cites Work

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• A nilpotent quotient algorithm for graded Lie rings
• The Magma algebra system. I: The user language
• The \(p\)-group generation algorithm
• Class and Breadth of a Finite p -Group
• Space Groups and Groups of Prime-Power Order IV. Counterexamples to the Class-Breadth Conjecture
• Graded Lie Algebras of Maximal Class
• DETERMINATION OF THE UNISERIAL SPACE GROUPS WITH A GIVEN COCLASS
• Two problems on finite groups with k conjugate classes
• The Breadth and the Class of a Finite P -Group

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