Thursday, October 4, 2012

1210.0917 (Jamil Daboul)

Extended Orbits-Fixedpoints Relations    [PDF]

Jamil Daboul
I extend further, using new proofs, two generalizations of an earlier orbits-fixed-points theorem, which was restricted to group action of the symmetric group. The extended equality makes use of the Stirling numbers of the second kind. An illustration using Mathieu group M24 is discussed. Possible applications using tensor products of matrix permutation representations is indicated.
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