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arXiv · 2608.15136

On Locally Generalized radical linear groups over rings

Le Van Chua·Bui Xuan Hai
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Abstract

In this paper, we investigate the structure of locally generalized radical linear groups over certain non-commutative rings and algebras. The base rings and algebras we consider include division rings, left artinian rings, locally finite algebras over fields, and PI-algebras over fields. Among various results, we get the positive answers to the General Burnside Problem and to Baer's Conjecture for some particular cases of linear groups.

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Le Van Chua, Bui Xuan Hai. 2026-08-15. On Locally Generalized radical linear groups over rings. https://arxiv.org/abs/2608.15136

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