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- W2063976358 abstract "A permutation group is said to be quasiprimitive if each of its nontrivial normal subgroups is transitive. A structure theorem for finite quasiprimitive permutation groups is proved, along the lines of the O'Nan-Scott Theorem for finite primitive permutation groups. It is shown that every finite, non-bipartite, 2-arc transitive graph is a cover of a quasiprimitive 2-arc transitive graph. The structure theorem for quasiprimitive groups is used to investigate the structure of quasiprimitive 2-arc transitive graphs, and a new construction is given for a family of such graphs." @default.
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- W2063976358 date "1993-04-01" @default.
- W2063976358 modified "2023-10-18" @default.
- W2063976358 title "An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs" @default.
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- W2063976358 doi "https://doi.org/10.1112/jlms/s2-47.2.227" @default.
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