Finite permutation groups with a transitive minimal normal subgroup

DOI10.1112/S0024611503014631zbMath1069.20003WikidataQ56987863 ScholiaQ56987863MaRDI QIDQ4812535

Cheryl E. Praeger, John Bamberg

Publication date: 23 August 2004

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

zbMATH Keywords

primitive permutation groupsstructure theoremsfinite permutation groupsplinthsinnately transitive permutation groupslocally primitive graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Primitive groups (20B15) General theory for finite permutation groups (20B05)

Related Items (17)

A theory of semiprimitive groups ⋮ A proof of Pyber's base size conjecture ⋮ Finite permutation groups containing a transitive abelian subgroup ⋮ Quasiprimitive groups and blow-up decompositions. ⋮ Rank three innately transitive permutation groups and related 2-transitive groups ⋮ On finite permutation groups with a transitive cyclic subgroup. ⋮ Bounds and quotient actions of innately transitive groups ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ Innately transitive subgroups of wreath products in product action ⋮ On normal 2-geodesic transitive Cayley graphs ⋮ On groups with every normal subgroup transitive or semiregular. ⋮ Vertex-transitive tournaments of order a product of two distinct primes ⋮ Intransitive Cartesian decompositions preserved by innately transitive permutation groups ⋮ Three types of inclusions of innately transitive permutation groups into wreath products in product action. ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ Seminormal and subnormal subgroup lattices for transitive permutation groups ⋮ Permutation groups, simple groups, and sieve methods

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