Realization of Groups with Pairing as Jacobians of Finite Graphs

Abstract We study which groups with pairing can occur as the Jacobian of a finite graph. We provide explicit constructions of graphs whose Jacobian realizes a large fraction of odd groups with a given pairing. Conditional on the generalized Riemann hypothesis, these constructions yiel...

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Bibliographic Details
Main Authors: Gaudet, Louis, Jensen, David, Ranganathan, Dhruv, Wawrykow, Nicholas, Weisman, Theodore
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131386