On transitive groups that contain certain transitive subgroups
نویسندگان
چکیده
منابع مشابه
Transitive Permutation Groups without Semiregular Subgroups
A transitive finite permutation group is called elusive if it contains no nontrivial semiregular subgroup. The purpose of the paper is to collect known information about elusive groups. The main results are recursive constructions of elusive permutation groups, using various product operations and affine group constructions. A brief historical introduction and a survey of known elusive groups a...
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Let G be a permutation group 2-transitive on a finite set. Assume that the stabilizer of two points fixes exactly K 3 3 points, but not all points. Let L denote this set of K points, and call the distinct sets Lg, g E G, lines. Then all lines have K points, and any two different points are in a unique line. This means that we have a design 9 (with h = 1). The only known possibilities for 9 are ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1939
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1939-07088-2