Smith and Critical groups of Polar Graphs

Published 25 Jun 2017 in math.CO and math.RT | (1706.08175v3)

Abstract: We compute the elementary divisors of the adjacency and Laplacian matrices of families of polar graphs. These graphs have as vertices the isotropic one-dimensional subspaces of finite vector spaces with respect to non-degenerate forms, with adjacency given by orthogonality.

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