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Solvable Permutation Groups and Semilinear Groups

  • James Cossey,
  • Yong Yang

摘要

First, we look at the basics of solvable permutation groups, and especially primitive solvable permutation groups. Then, we connect those to affine groups. We use these to discuss bounds on the order of a solvable permutation group in terms of its degree. Finally, we begin to look at semilinear groups and their structure.