English

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

Group Theory 2018-06-25 v4

Abstract

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

Keywords

Cite

@article{arxiv.1011.4341,
  title  = {On the base size of a transitive group with solvable point stabilizer},
  author = {Vdovin Evgeny},
  journal= {arXiv preprint arXiv:1011.4341},
  year   = {2018}
}

Comments

Revized variant, published in Journal of Algebra and Applications