MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS OF THREE-DIMENSIONAL GENERAL LINEAR GROUPS

DOI10.1017/S0004972709000057zbMath1177.20037OpenAlexW2036041770WikidataQ56987720 ScholiaQ56987720MaRDI QIDQ5322937

Cheryl E. Praeger, Azizollah Azad

Publication date: 23 July 2009

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

Full work available at URL: https://doi.org/10.1017/s0004972709000057

zbMATH Keywords

general linear groupsunipotent elementscombinatorial conditions on subsetsnoncommuting pairs of elementsSinger cycle subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (8)

Abelian covers of alternating groups ⋮ Maximal non-commuting set in 2-generated p-groups of class two ⋮ On F-groups with the central factor of order p ⁴ ⋮ Abelian coverings of finite general linear groups and an application to their non-commuting graphs. ⋮ MAXIMUM SIZE OF SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE METACYCLIC p-GROUPS ⋮ Maximal non-commuting sets in certain unipotent upper-triangular linear groups ⋮ On commuting automorphisms of finite groups ⋮ MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS OF SOME p-GROUPS OF MAXIMAL CLASS

Cites Work

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• Sur la dimension cohomologique des groupes profinis
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• On coverings of a finite group by abelian subgroups
• On non-commuting sets in an extraspecial p-group
• Endliche Gruppen I

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