Similarity of Matrices over Dedekind Rings

Published 14 May 2024 in math.NT | (2405.08501v3)

Abstract: We extend Latimer and MacDuffee's theorem to a general commutative domain and apply this result to study similarity of matrices over integral rings of number fields. We also conjecture similarity over discrete valuation rings can be descent by a finite covering and verify this conjecture for $2\times2$ matrices.

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Ziyang Zhu

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