Abstract
The present article generalizes the group-theoretical exchange condition to the theory of association schemes. We prove that a large class of association schemes satisfying our exchange condition arises from groups as quotients over subgroups. The result provides an alternate proof of Tits' reduction theorem for buildings of spherical type.
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Zieschang, PH. The exchange condition for association schemes. Isr. J. Math. 151, 357–380 (2006). https://doi.org/10.1007/BF02777367
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DOI: https://doi.org/10.1007/BF02777367