# Ore's theorem for cyclic subfactor planar algebras and applications

@inproceedings{Palcoux2015OresTF, title={Ore's theorem for cyclic subfactor planar algebras and applications}, author={Sebastien Palcoux}, year={2015} }

This paper introduces the cyclic subfactors, generalizing the cyclic groups as the subfactors generalize the groups, and generalizing the natural numbers as the maximal subfactors generalize the prime numbers. On one hand, a theorem of O. Ore states that a finite group is cyclic if and only if its subgroups lattice is distributive, and on the other hand, every subgroup of a cyclic group is normal. Then, a subfactor planar algebra is called cyclic if all the biprojections are normal and form a… CONTINUE READING

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