Characterization of pseudo-geometric SRGs with regular point yields explicit constructions of new SRGs with GQ parameters and over 160000 new graphs with parameters (85,20,3,5) and (156,30,4,6).
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Gives splitting criteria for quaternion algebras over quadratic fields and complete characterization of division ones when parameters are distinct primes.
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Pseudo-Geometric Strongly Regular Graphs with a Regular Point
Characterization of pseudo-geometric SRGs with regular point yields explicit constructions of new SRGs with GQ parameters and over 160000 new graphs with parameters (85,20,3,5) and (156,30,4,6).
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On quaternion algebras that split over quadratic number fields
Gives splitting criteria for quaternion algebras over quadratic fields and complete characterization of division ones when parameters are distinct primes.