The Smith and critical groups of Paley graphs

DOI10.1007/s10801-014-0563-0zbMath1316.05058arXiv1401.8260OpenAlexW2091642527MaRDI QIDQ2354052

Qing Xiang, David B. Chandler, Peter K. W. Sin

Publication date: 10 July 2015

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

Full work available at URL: https://arxiv.org/abs/1401.8260

zbMATH Keywords

Paley graphstrongly regular graphcritical groupLaplacian matrixSmith normal formJacobi sumschip-firing gamesandpile group

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Canonical forms, reductions, classification (15A21)

Related Items

The distribution of sandpile groups of random graphs, The critical groups of the Peisert graphs, The sandpile group of polygon rings and twisted polygon rings, On conjugacy of diagonalizable integral matrices, Critical groups of strongly regular graphs and their generalizations, The critical groups of Adinkras up to 2-rank of Cayley graphs, Chip-Firing Games and Critical Groups, Critical group structure from the parameters of a strongly regular graph, Smith normal form in combinatorics, Smith and critical groups of polar graphs, Difference families, skew Hadamard matrices, and critical groups of doubly regular tournaments, Critical groups of Van Lint-Schrijver cyclotomic strongly regular graphs, The sandpile group of a polygon flower, Iwasawa theory of Jacobians of graphs, Eigenvalues and critical groups of Adinkras

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