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arXiv · 2510.16277

Derangements in affine classical groups and Cohen-Lenstra heuristics

Jason Fulman·Dennis Stanton
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Abstract

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 distributions on integer partitions. This leads to a proof of three q-polynomial identities conjectured by Anzanello, which were crucial for her work.

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Jason Fulman, Dennis Stanton. 2025-10-18. Derangements in affine classical groups and Cohen-Lenstra heuristics. https://arxiv.org/abs/2510.16277

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