ON A CONJECTURE ON THE PERMUTATION CHARACTERS OF FINITE PRIMITIVE GROUPS

DOI10.1017/S0004972719001060zbMath1481.20005OpenAlexW2982253260WikidataQ122941611 ScholiaQ122941611MaRDI QIDQ3295166

Pablo Spiga

Publication date: 8 July 2020

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

Full work available at URL: https://doi.org/10.1017/s0004972719001060

zbMATH Keywords

fixed-point-free elementsfinite primitive groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15)

Uses Software

• GAP
• AtlasRep

Cites Work

• Finite primitive permutation groups containing a permutation having at most four cycles
• Affine transformations of finite vector spaces with large orders or few cycles.
• Finite primitive permutation groups and regular cycles of their elements.
• Subgroups of prime power index in a simple group
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Permutation characters and fixed-point-free elements in permutation groups.
• Finite primitive groups and regular orbits of group elements
• On the maximum orders of elements of finite almost simple groups and primitive permutation groups
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Maximal subgroups of sporadic groups
• On Permutation Groups of Degree a Product of Two Prime-Powers
• A Problem of Wielandt on Finite Permutation Groups
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