Primitive permutation groups with a solvable 2-transitive subconstituent
نویسندگان
چکیده
منابع مشابه
On solvable minimally transitive permutation groups
We investigate properties of finite transitive permutation groups (G, Ω) in which all proper subgroups of G act intransitively on Ω. In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.
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Hypothesis (A): G is a doubly transitive permutation group on a set Q. For 01 E Q, G, has a set Z = {B, , B, ,..., B,}, t > 2, which is a complete set of imprimitivity blocks on Q {a}. Let j Bi / = b > 1 for all i. Denote by H the kernel of G, on .Z and by Ki and K< the subgroups of G, fixing Bi setwise and pointwise respectively, 1 .< i < t. Let /3 E Bl . Here j Q j = 1 + ht. M. D. Atkinson ha...
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We assign names and new generators to the transitive groups of degree up to 15, reflecting their structure.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.03.028