Geodesic
On similarity classes of second order matrices with zero trace over the ring of integers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 79-86

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In this paper we consider the problem of similarity of matrices over integers and describe canonical representatives of the similarity classes of $2\times2$ matrices with zero trace and determinant equal to an odd power of a prime number.
Keywords: similarity of matrices, the ring of integers, canonical matrices. 
@article{IVM_2016_4_a9,
     author = {S. V. Sidorov},
     title = {On similarity classes of second order matrices with zero trace over the ring of integers},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--86},
     publisher = {mathdoc},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_4_a9/}
}
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S. V. Sidorov. On similarity classes of second order matrices with zero trace over the ring of integers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 79-86. http://geodesic.mathdoc.fr/item/IVM_2016_4_a9/