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

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

2007-08-12

arxiv.org/abs/0708.1608v2

Communications in Algebra, volume 37, no. 8, pages 2601-2615, August 2009

Mathematics

Group Theory

14 pages, final version, to appear in Communications in Algebra

Scientific paper

10.1080/00927870902747266

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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