The Smith Group and the Critical Group of the Grassmann Graph of Lines in Finite Projective Space and of its Complement
by
Peter Sin, Joshua Ducey
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
MATHEMATICAL SUBJECT CLASSIFICATION 2010
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