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- W4310879920 abstract "The sets of primitive, quasiprimitive, and innately transitive permutation groups may each be regarded as the building blocks of finite transitive permutation groups, and are analogues of composition factors for abstract finite groups. This paper extends classifications of finite primitive and quasiprimitive groups of rank at most $3$ to a classification for the finite innately transitive groups. The new examples comprise three infinite families and three sporadic examples. A necessary step in this classification was the determination of certain configurations in finite almost simple $2$-transitive groups called special pairs." @default.
- W4310879920 created "2022-12-20" @default.
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- W4310879920 date "2022-12-05" @default.
- W4310879920 modified "2023-10-16" @default.
- W4310879920 title "Rank three innately transitive permutation groups and related $2$-transitive groups" @default.
- W4310879920 doi "https://doi.org/10.2140/iig.2023.20.135" @default.
- W4310879920 hasPublicationYear "2022" @default.
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