The critical groups of a family of graphs and elliptic curves over finite fields

DOI10.1007/s10801-008-0162-zzbMath1228.05307OpenAlexW2073634551MaRDI QIDQ835660

Gregg Musiker

Publication date: 31 August 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-008-0162-z

zbMATH Keywords

elliptic curvesFrobenius mapcritical groupgraph Laplacian

Mathematics Subject Classification ID

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Cites Work

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• Smith normal form and Laplacians
• Enumerating bases of self-dual matroids
• A finite group attached to the laplacian of a graph
• Chip-firing and the critical group of a graph
• Complex multiplication structure of elliptic curves
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Combinatorial aspects of elliptic curves
• Fibonacci Series Modulo m
• Self-organized critical state of sandpile automaton models
• Trees, parking functions, syzygies, and deformations of monomial ideals
• The critical group from a cryptographic perspective
• Group structure of elliptic curves over finite fields.