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Base Sizes

  • James Cossey,
  • Yong Yang

摘要

If G acts on a set S, a base for the action is defined to be a set of elements of S whose centralizers in G intersect trivially. The focus in this chapter is to prove a number of results, mostly by Seress and Espuelas, that give minimal base sizes for a number of different types of solvable group actions.