The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement
by Joshua Ducey   Peter Sin  

Vol. 13 No. 4 (2018) P.411~P.442

DOI:	https://doi.org/10.21915/BIMAS.2018404
	10.21915/BIMAS.2018404

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.

KEYWORDS
invariant factors, elementary divisors, Smith normal form, critical group, Jacobian group, sandpile group, adjacency matrix, Laplacian, Grassmann

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 05C50

MILESTONES

Received: 2017-06-20
Revised :
Accepted: 2018-01-01

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