Plethysm for Wreath Products and Homology of Sub-Posets of Dowling Lattices

Anthony Henderson

Abstract


We prove analogues for sub-posets of the Dowling lattices of the results of Calderbank, Hanlon, and Robinson on homology of sub-posets of the partition lattices. The technical tool used is the wreath product analogue of the tensor species of Joyal.


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