The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement
Vol. 13 No. 4 (2018) P.411~P.442
DOI: || https://doi.org/10.21915/BIMAS.2018404 |
| ||10.21915/BIMAS.2018404 |
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.
invariant factors, elementary divisors, Smith normal form, critical group, Jacobian group, sandpile group, adjacency matrix, Laplacian, Grassmann
MATHEMATICAL SUBJECT CLASSIFICATION 2010
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