On the sumsets of units in a ring of matrices over $ \mathbb{Z}/m\mathbb{Z} $

Let $ M_{n, m}: = Mat_n(\mathbb{Z}/m\mathbb{Z}) $ be the ring of matrices of $ n\times n $ over $ \mathbb{Z}/m\mathbb{Z} $ and $ G_{n, m}: = Gl_n(\mathbb{Z}/m\mathbb{Z}) $ be the multiplicative group of units of $ M_{n, m} $ with $ n\geqslant 2, m\geqslant 2. $ In this paper, we obtain an exact form...

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Bibliographic Details
Main Authors: Yifan Luo, Kaisheng Lei, Qingzhong Ji
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2025059
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