Sequences realized as Parker vectors of oligomorphic permutation groups

نویسندگان

  • Daniele A. Gewurz
  • Francesca Merola
چکیده

The purpose of this paper is to study the Parker vectors (in fact, sequences) of several known classes of oligomorphic groups. The Parker sequence of a group G is the sequence that counts the number of G-orbits on cycles appearing in elements of G. This work was inspired by Cameron’s paper on the sequences realized by counting orbits on k-sets and k-tuples.

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تاریخ انتشار 2003