Chinese Quarterly Journal of Mathematics ›› 1994, Vol. 9 ›› Issue (1): 51-53.

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The Numbers of Permutation Groups Orbits and of the Wreath Product Orbits

  

  1. Puyang Educntional College,Henan,457000
  • Received:1993-12-03 Online:1994-03-30 Published:2025-05-12

Abstract: If H and K are permutation groups on X and Y respectivly,then the wreath product HL K is the permutation group on the set X×Y.In this paper,we give the relation of the number of H1 K-orbits with the numbers of H-orbits and K-orbits.

Key words:  , permutation group, wreath product, G-orbits

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