The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement

DOI10.21915/BIMAS.2018404zbMath1414.05178arXiv1706.01294MaRDI QIDQ5383928

Joshua E. Ducey, Peter K. W. Sin

Publication date: 20 June 2019

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01294

zbMATH Keywords

adjacency matrixLaplaciancritical groupinvariant factorsSmith normal formsandpile groupGrassmannelementary divisorsJacobian group

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial structures in finite projective spaces (51E20)

Related Items (3)

Critical group structure from the parameters of a strongly regular graph ⋮ Smith and critical groups of polar graphs ⋮ Critical groups of Van Lint-Schrijver cyclotomic strongly regular graphs

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