A directed graph Y on p-1 vertices is defined so its Bowen-Franks torsion group matches the minus class group of Q(ζ_p) in order up to p-power and in Galois isotypic components for ℓ not dividing p-1.
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Constructs a probability measure on pairs of Iwasawa modules where the intersection is finite with probability 1, providing heuristic evidence for Greenberg's μ=0 conjecture.
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Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor
A directed graph Y on p-1 vertices is defined so its Bowen-Franks torsion group matches the minus class group of Q(ζ_p) in order up to p-power and in Galois isotypic components for ℓ not dividing p-1.
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A Heuristic approach to the Iwasawa theory of elliptic curves
Constructs a probability measure on pairs of Iwasawa modules where the intersection is finite with probability 1, providing heuristic evidence for Greenberg's μ=0 conjecture.