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Ducey, Joshua E.; Duncan, David L.; Engelbrecht, Wesley J.; Madan, Jawahar V.; Piato, Eric; Shatford, Christina S.; Vichitbandha, Angela
Journal of combinatorial theory. Series A, 20/May , Letnik: 180Journal Article
We give simple arithmetic conditions that force the Sylow p-subgroup of the critical group of a strongly regular graph to take a specific form. These conditions depend only on the parameters (v,k,λ,μ) of the strongly regular graph under consideration. We give many examples, including how the theory can be used to compute the critical group of Conway's 99-graph and to give an elementary argument that no srg(28,9,0,4) exists.
