Triply transitive groups in which only the identity fixes four letters
نویسندگان
چکیده
منابع مشابه
ON 2-TRANSITIVE GROUPS IN WHICH THE STABILIZER OF TWO POINTS FIXES ADDITIONAL POINTS t
Let F be a 2-transitive group of finite degree v such that the stabilizer T xy of the distinct points x and y fixes precisely k points, where 2 < k < v. The only known non-solvable groups with this property are of the following types: (i) a 2-transitive collineation group of PG(d, 2) for some d; (ii) a 2-transitive collineation group of AG(d, k) for some d; and (iii) PFL(2, 8) in its representa...
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This result has been refined considerably by a number of authors. Wietandt and Huppert [14] introduced the notion of multiple primitivity and (t+ 89 transitivity. Wagner [13] showed that H is in fact t-fold transitive if n t is an even number and t > 3, and Saxl [8] proved that this is also true if t > 4 and n < 106. The only known examples of triply transitive groups with only doubly transitiv...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1961
ISSN: 0019-2082
DOI: 10.1215/ijm/1255630893