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arXiv · 2411.11085

Universal constant order fluctuations for the cokernels of block triangular matrices

András Mészáros
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Abstract

We prove that for a large class of random block lower triangular matrices, the Sylow $p$-subgroups of their cokernels have the same constant order fluctuations as that of the matrix products studied by Nguyen and Van Peski in arXiv:2409.03099. We also show that the theorem of Nguyen and Van Peski remains true under a weaker assumption on the number of factors in the matrix products.

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András Mészáros. 2024-11-17. Universal constant order fluctuations for the cokernels of block triangular matrices. https://arxiv.org/abs/2411.11085

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