Solvable Primitive Permutation Groups of Low Rank

DOI10.2307/1995232zbMath0187.29401OpenAlexW4246139497MaRDI QIDQ5579063

D. A. Foulser

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1995232

zbMATH Keywords

group theory

Mathematics Subject Classification ID

Primitive groups (20B15)

Related Items

Integral automorphisms of affine spaces over finite fields, The rank of a finite primitive solvable permutation group, Finite distance-transitive generalized polygons, Classification of the non-trivial \(2\)-\((v,k,\lambda)\) designs, with \((r,\lambda)=1\) and \(\lambda >1\), admitting a non-solvable flag-transitive automorphism group of affine type, \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters, A bound on the rank of primitive solvable permutation groups, Finite primitive distance-transitive graphs, Direct products of groups and regular orbits, Subgroups of classical groups that are transitive on subspaces, The blocks with four irreducible characters, A lower bound for the number of conjugacy classes of a finite group., On the number of conjugacy classes of a finite solvable group. II., NONVANISHING ELEMENTS FOR BRAUER CHARACTERS, Regular orbits of finite primitive solvable groups. II., 2-\((v,k,1)\) designs with a point-primitive rank 3 automorphism group of affine type, Finite groups have more conjugacy classes, All self-complementary symmetric graphs, 2‐(v,k,1) Designs Admitting a Primitive Rank 3 Automorphism Group of Affine Type: The Extraspecial and the Exceptional Classes, Strongly regular graphs, Translation planes admitting solvable rank 3 collineation groups, Derived length when a product of characters has two nonprincipal irreducible constituents, Partial linear spaces with a rank 3 affine primitive group of automorphisms, The rank of primitive solvable permutation groups, Orbits of the actions of finite solvable groups., Orbit sizes, character degrees and Sylow subgroups., Totally symmetric colored graphs, Some Highly Homogeneous Groups, On 2-closures of rank 3 groups

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