Similarity classes of 3x3 matrices over a local principal ideal ring

Amritanshu Prasad; Leonid Vaserstein; Nir Avni; Uri Onn

arxiv: 0708.1608 · v2 · submitted 2007-08-12 · 🧮 math.GR · math.RA

Similarity classes of 3x3 matrices over a local principal ideal ring

Nir Avni , Uri Onn , Amritanshu Prasad , Leonid Vaserstein This is my paper

classification 🧮 math.GR math.RA

keywords classesringsimilarityfiniteideallocalmatricesprincipal

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In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is computed explicitly.

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Similarity classes of 3x3 matrices over a local principal ideal ring

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