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arXiv · 1706.08175

Smith and Critical groups of Polar Graphs

Venkata Raghu Tej Pantangi·Peter Sin
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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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Venkata Raghu Tej Pantangi, Peter Sin. 2018-12-15. Smith and Critical groups of Polar Graphs. https://doi.org/10.1016/j.jcta.2019.05.008

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