On imprimitive rank 3 permutation groups
نویسندگان
چکیده
منابع مشابه
On imprimitive rank 3 permutation groups
A classification is given of rank 3 group actions which are quasiprimitive but not primitive. There are two infinite families and a finite number of individual imprimitive examples. When combined with earlier work of Bannai, Kantor, Liebler, Liebeck and Saxl, this yields a classification of all quasiprimitive rank 3 permutation groups. Our classification is achieved by first classifying imprimi...
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The O’Nan-Scott Theorem together with the Classification of the Finite Simple Groups is a powerful tool that give the structure of all primitive permutation groups, as well as their actions. This has allowed for the solution to many classical problems, and has opened the door to a deeper understanding of imprimitive permutation groups, as primitive permutation groups are the building blocks of ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2011
ISSN: 0024-6107
DOI: 10.1112/jlms/jdr009