Cyclic quotients of transitive groups

DOI10.1006/jabr.2000.8540zbMath0974.20001OpenAlexW2008386260MaRDI QIDQ1841836

Robert M. Guralnick

Publication date: 4 September 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8540

zbMATH Keywords

normal subgroupsfinite permutation groupsGalois theorysuborbitstransitive permutation groupsprimitive groupspoint stabilizerscoverings of curvescyclic factor groupscyclic quotientsextensions of constantsprocyclic fields

Mathematics Subject Classification ID

Primitive groups (20B15) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items (3)

Coprime subdegrees for primitive permutation groups and completely reducible linear groups. ⋮ Nonisomorphic curves that become isomorphic over extensions of coprime degrees ⋮ Normalizers of primitive permutation groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the maximal subgroups of the finite classical groups
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• An order bound for the point stabilizer of a primitive permutation group
• On the minimal degree of a primitive permutation group
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Abhyankar's conjecture on Galois groups over curves
• Finite permutation groups with large Abelian quotients
• Fixed point ratios in actions of finite exceptional groups of Lie type.
• Galois groups of unramified covers of projective curves in characteristic \(p\)
• Maximal subgroups of exceptional groups of Lie type, finite and algebraic
• The Local Maximal Subgroups of Exceptional Groups of Lie Type, Finite and Algebraic
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• FIXED POINT RATIOS IN EXCEPTIONAL GROUPS OF RANK AT MOST TWO
• On Abelian Quotients of Primitive Groups
• Maximal subgroups of finite groups

This page was built for publication: Cyclic quotients of transitive groups