Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups

Details Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups

2012-03-07

arxiv.org/abs/1203.1638v1

Mathematics

Representation Theory

18 pages, 2 figures

Scientific paper

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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