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arXiv · 1011.4341

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

Abstract

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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Vdovin Evgeny. 2010-11-19. On the base size of a transitive group with solvable point stabilizer. https://doi.org/10.1142/s0219498811005403

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