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Mathematics
Representation Theory
Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups
Samuel G. Benidt
,
William R. S. Hall
,
Anders O. F. Hendrickson
Abstract
We consider the lattice of supercharacter theories, in the sense of Diaconis and Isaacs, of the cyclic group of order n. We find necessary and sufficient conditions on n for that lattice to be upper or lower semimodular.
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Submitted on 7 Mar 2012
Updated
arXiv.org
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