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On the p-Rank of the Adjacency Matrices of Strongly Regular Graphs
Authors:AE Brouwer  CA Van Eijl
Institution:(1) Dept. of Math., Eindhoven Univ. of Technology, Eindhoven, Netherlands
Abstract:Let Gamma be a strongly regular graph with adjacency matrix A. Let I be the identity matrix, and J the all-1 matrix. Let p be a prime. Our aim is to study the p-rank (that is, the rank over 
$$\mathbb{F}_p$$
, the finite field with p elements) of the matrices M = aA + bJ + cI for integral a, b, c. This note is based on van Eijl 8].
Keywords:p-rank  strongly regular graphs
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