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

Published 5 Jun 2017 in math.CO and math.GR | (1706.01294v1)

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.

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