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RESEARCH PRODUCT

Multiply Transitive Permutation Groups

Norman BlackburnBertram Huppert

subject

Base (group theory)CombinatoricsTransitive relationFinite group theoryPermutation graphClassification of finite simple groupsPermutation groupCyclic permutationMathematics

description

Since the beginnings of finite group theory, the multiply transitive permutation groups have exercised a certain fascination. This is mainly due to the fact that apart from the symmetric and alternating groups not many of them were known. Only very recently final results about multiply transitive permutation groups have been proved, using the classification of all finite simple groups (see 7.5).

https://doi.org/10.1007/978-3-642-67997-1_3