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

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.

• Type: Journal
• Year: 2006
• Where: COMBINATORICS
• Authors: Anthony Henderson
• Keywords: COMBINATORICS 2006, Partition Lattices, Technical Tool, Wreath Product Analogue