The Inclusion Problem for Finite Primitive Permutation Groups

From MaRDI portal
Publication:3798843

DOI10.1112/plms/s3-60.1.68zbMath0653.20005OpenAlexW2053423808MaRDI QIDQ3798843

Cheryl E. Praeger

Publication date: 1990

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-60.1.68




Related Items

On the number of conjugacy classes of a primitive permutation groupGroup factorisations, uniform automorphisms, and permutation groups of simple diagonal typeTowards Efficient Normalizers of Primitive GroupsEntry-faithful 2-neighbour transitive codesFinite primitive groups and edge-transitive hypergraphsBase sizes of primitive permutation groupsOVERGROUPS OF PRIMITIVE GROUPSOn relational complexity and base size of finite primitive groupsA new family of locally 5-arc transitive graphsON THE HEIGHT AND RELATIONAL COMPLEXITY OF A FINITE PERMUTATION GROUPImages of commutator MAPSFinite edge-primitive graphs of prime valencyNo sporadic almost simple group acts primitively on the points of a generalised quadrangleQuasiprimitive groups and blow-up decompositions.Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable GroupsOn subgroups with non-zero Möbius numbers in the alternating and symmetric groups.Characterization of the solvable radical by Sylow multiplicitiesThe exact factorizations of almost simple groupsA new infinite family of star normal quotient graphs of twisted wreath typeFinite groups with an affine map of large orderOn automorphism groups of bi-quasiprimitive 2-arc-transitive graphsSymmetries of biplanesQuotients and inclusions of finite quasiprimitive permutation groups.On quasiprimitive edge-transitive graphs of odd order and twice prime valencyAffine primitive groups and semisymmetric graphsTHE CONTRIBUTION OF L. G. KOVÁCS TO THE THEORY OF PERMUTATION GROUPSTHE GRADED CENTER OF A TRIANGULATED CATEGORYSome semisymmetric graphs arising from finite vector spacesBoolean lattices in finite alternating and symmetric groupsFinite vertex-primitive edge-transitive metacirculants.On the automorphism groups of quasiprimitive almost simple graphsOn triangles in derangement graphsEdge-primitive graphs of prime power orderOn edge-primitive 3-arc-transitive graphsInnately transitive subgroups of wreath products in product actionTwo-arc transitive graphs and twisted wreath productsBase sizes of primitive groups: bounds with explicit constantsTransitive simple subgroups of wreath products in product actionBasic coset geometriesOn 2-arc-transitive representations of the groups of fourth-power-free orderIntransitive Cartesian decompositions preserved by innately transitive permutation groups2-closures of primitive permutation groups of holomorph typeThree types of inclusions of innately transitive permutation groups into wreath products in product action.Transitive characteristically simple subgroups of finite quasiprimitive permutation groupsInclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphsTransitive decompositions of graph products: rank 3 grid typeOvergroups of primitive groups. II.Asymptotic enumeration of Cayley digraphsEdge-primitive Cayley graphs on abelian groups and dihedral groupsCubic graphs admitting transitive non-abelian characteristically simple groupsHomogeneous factorisations of Johnson graphsOn the Saxl graph of a permutation groupPartial linear spaces with a rank 3 affine primitive group of automorphismsOn finite dual Cayley graphsOn primitive overgroups of quasiprimitive permutation groupsFinite edge-transitive Cayley graphs and rotary Cayley mapsOn graphs admitting arc-transitive actions of almost simple groupsOn generalised Paley graphs and their automorphism groupsLifting a prescribed group of automorphisms of graphsRegular subgroups of primitive permutation groupsCoprime subdegrees of twisted wreath permutation groupsTransitive subgroups of primitive permutation groupsOn Pyber’s base size conjectureFactorisations of characteristically simple groups