Doubly transitive permutation groups involving the one-dimensional projective special linear groups
نویسندگان
چکیده
منابع مشابه
Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups
The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).
متن کاملAbstract Groups as Doubly Transitive Permutation Groups *
Groups as Doubly Transitive Permutation Groups *
متن کاملTwo Theorems on Doubly Transitive Permutation Groups
In a series of papers [3, 4 and 5] on insoluble (transitive) permutation groups of degree p = 2q +1, where p and q are primes, N. Ito has shown that, apart from a small number of exceptions, such a group must be at least quadruply transitive. One of the results which he uses is that an insoluble group of degree p = 2q +1 which is not doubly primitive must be isomorphic to PSL (3, 2) with p = 7....
متن کاملflag-transitive point-primitive symmetric designs and three dimensional projective special linear groups
the main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group g whose socle is psl(3,q). we indeed show that the only possible design satisfying these conditions is a desarguesian projective plane pg(2,q) and g > psl(3,q).
متن کاملDoubly Transitive but Not Doubly Primitive Permutation Groups
The connection between doubly transitive permutation groups G on a finite set Cl which are not doubly primitive and automorphism groups of block designs in which X = 1 has been investigated by Sims [2] and Atkinson [1]. If, for a e Q, Ga has a set of imprimitivity of size 2 then it is easy to show that G is either sharply doubly transitive or is a group of automorphisms of a non-trivial block d...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1976
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700025235