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

2018 / December Volume 13 No.4

Published Date	2018 / December
Title	The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement
Author	Joshua Ducey, Peter Sin
Keyword	invariant factors, elementary divisors, Smith normal form, critical group, Jacobian group, sandpile group, adjacency matrix, Laplacian, Grassmann, invariant factors, elementary divisors, Smith normal form, critical group, Jacobian group, sandpile group, adjacency matrix, Laplacian, Grassmann
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Pagination	411-442
Abstract	We compute the elementary divisors of the adjacency and Laplacian matrices of the Grassmann graph on 2-dimensional subspaces in a finite vector space. We also compute the corresponding invariants of the complementary graphs.
DOI	10.21915/BIMAS.2018404 https://doi.org/10.21915/BIMAS.2018404
AMS Subject Classification	05C50
Received	2017-06-20
Accepted	2018-01-01

Bulletin, Institute of Mathematics, Academia Sinica