Bounded Generation for $SL_n(\Lambda)$
Group Theory
2025-04-23 v1
Abstract
Let Λ be an order in a division algebra over a number field. We prove, under some conditions, that SL3(Λ) is boundedly generated by elementary matrices.
Cite
@article{arxiv.2504.15383,
title = {Bounded Generation for $SL_n(\Lambda)$},
author = {Nir Avni and Chen Meiri},
journal= {arXiv preprint arXiv:2504.15383},
year = {2025}
}
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11 pages, comments welcome
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