Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring

Avni, Nir ; Onn, Uri ; Prasad, Amritanshu ; Vaserstein, Leonid (2009) Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring Communications in Algebra, 37 (8). pp. 2601-2615. ISSN 0092-7872

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Official URL: http://doi.org/10.1080/00927870902747266

Related URL: http://dx.doi.org/10.1080/00927870902747266

Abstract

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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