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math.CO2025
Derangements in affine classical groups and Cohen-Lenstra heuristics
Jason Fulman, Dennis Stanton
We observe that Anzanello's work on the proportion of derangements in affine classical groups over finite fields is related to symplectic and orthogonal Cohen-Lenstra type distribu…
math.GR2025
Derangements in finite classical groups and characteristic polynomials of random matrices
Jason Fulman, Robert Guralnick
We first obtain explicit upper bounds for the proportion of elements in a finite classical group G with a given characteristic polynomial. We use this to complete the proof that th…