Linear groups over a locally linear division ring

2010/12/28 by Bui Xuan Hai, Hai, Bui Xuan, Mai Hoang Bien +3
Mathematics · #16K20 #16K40 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.GR #math.RA #msc:16K20 #msc:16K40

paper · pdf · doi:10.48550/arxiv.1012.5745

11 pages

openalex publication_date 2010/12/28 · arxiv created 2011/03/15 · arxiv updated 2011/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivial examples of rings of new defined classes. Further, we study linear groups over division rings of these classes. Our new obtained results generalize precedent results for centrally finite division rings.

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