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

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.

28 pages

Cited by in corpus (2)

• Smith and Critical groups of Polar Graphs
• The critical group of the Kneser graph on $2$-subsets of an $n$-element set