Permutation Groups of Degree 4/h-3
نویسنده
چکیده
According to a theorem of Jordan and Manning (cf [26; 13.10]), if G is a primitive permutation group of degree n =qp + k with q small and p a prime and if G contains an element of order p and degree qp but does not contain the alternating group An, then k is bounded in terms of q. In [24] we shall show that the bound can be improved in some special cases. On the other hand, if q = 4 then the Manning bound k < 4 is sharp. The aim of this paper is to show that we can improve on the result also in this case: the groups with q = 4 and 3 ^ k ^ 4 can be classified, so that we obtain
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