Finite primitive permutation groups and regular cycles of their elements.

DOI10.1016/j.jalgebra.2014.08.015zbMath1308.20001arXiv1311.3906OpenAlexW2062732731WikidataQ56987432 ScholiaQ56987432MaRDI QIDQ468689

Michael Giudici, Pablo Spiga, Cheryl E. Praeger

Publication date: 7 November 2014

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

Full work available at URL: https://arxiv.org/abs/1311.3906

zbMATH Keywords

primitive permutation groupsfinite permutation groupsclassical groupsalmost simple groupscycle lengthselement ordersquasiprimitive groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15) Other matrix groups over finite fields (20H30)

Related Items (7)

Finite groups with an automorphism of large order ⋮ Divisibility and laws in finite simple groups. ⋮ Asymptotic enumeration of vertex-transitive graphs of fixed valency ⋮ Maximal subgroups of finite groups avoiding the elements of a generating set ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ ON A CONJECTURE ON THE PERMUTATION CHARACTERS OF FINITE PRIMITIVE GROUPS ⋮ Finite primitive groups and regular orbits of group elements

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abelian coverings of finite general linear groups and an application to their non-commuting graphs.
• Nonsolvable groups with an automorphism inverting many elements
• On the minimal degree of a primitive permutation group
• The Magma algebra system. I: The user language
• Regular orbits of cyclic subgroups in permutation representations of certain simple groups
• On the orders of primitive groups
• Fixed point ratios in actions of finite exceptional groups of Lie type.
• Intersections of matrix algebras and permutation representation of \(\text{PSL}(n,q)\)
• Finite primitive groups and regular orbits of group elements
• On Regular Orbits of Elements of Classical Groups in Their Permutation Representations
• A Remark on Stirling's Formula
• Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces
• Effective Bounds for the Maximal Order of an Element in the Symmetric Group
• On the orders of Primitive Permutation Groups
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• A REMARK ON THE PERMUTATION REPRESENTATIONS AFFORDED BY THE EMBEDDINGS OF IN

This page was built for publication: Finite primitive permutation groups and regular cycles of their elements.