Plethysm for wreath products and homology of sub-posets of Dowling lattices
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latticessub-posetsdowlinghomologywreathanalogueanaloguescalderbank
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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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