The Minimal Base Size of Primitive Solvable Permutation Groups
نویسنده
چکیده
A base of a permutation group G is a sequence B of points from the permutation domain such that only the identity of G fixes B pointwise. Answering a question of Pyber, we prove that all primitive solvable permutation groups have a base of size at most four.
منابع مشابه
Bases for Primitive Permutation Groups and a Conjecture of Babai
A base of a permutation group G is a sequence B of points from the permutation domain such that only the identity of G fixes B pointwise. We show that primitive permutation groups with no alternating composition factors of degree greater than d and no classical composition factors of rank greater than d have a base of size bounded above by a function of d. This confirms a conjecture of Babai. Q...
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تاریخ انتشار 1996