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On Asymptotic Reducibility in SL(3,Z)

2012/05/18 by Oleg Karpenkov, Karpenkov, Oleg
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Rings and Algebras (math.RA) #math.NT #math.RA

paper · pdf · doi:10.48550/arxiv.1205.4166

24 pages, 7 figures

arxiv created 2012/05/18 · openalex publication_date 2012/05/18 · arxiv updated 2012/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently we showed that Hessenberg matrices are proper to represent conjugacy classes in SL(n,Z). In this paper we focus on the reducibility properties in the set of Hessenberg matrices of SL(3,Z). We investigate the first interesting open case here: the case of matrices having one real and two complex conjugate eigenvalues.

Citations

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