On the base size of a transitive group with solvable point stabilizer

Details On the base size of a transitive group with solvable point stabilizer On the base size of a transitive group with solvable point stabilizer

2010-11-19

arxiv.org/abs/1011.4341v2

Mathematics

Group Theory

Revized variant, accepted in Journal of Algebra and Applications

Scientific paper

We prove that the base size of a transitive group $G$ with solvable point
stabilizer and with trivial solvable radical is not greater than $k$ provided
the same statement holds for the group of $G$-induced automorphisms of each
nonabelian composition factor of $G$.

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