Geodesic
On the Similarity of Certain Integer Matrices with Single Eigenvalue over the Ring of Integers
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 763-770

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The problem of the similarity of integer matrices with single eigenvalue over the ring of integers is considered. A criterion for a matrix to be similar to a Jordan block is obtained. In addition, a similarity criterion for matrices whose minimal polynomial has degree 2 is obtained.
Keywords: similarity of matrices, Smith normal diagonal form, ring of integers.
Mots-clés : Jordan form 
@article{MZM_2019_105_5_a9,
     author = {S. V. Sidorov},
     title = {On the {Similarity} of {Certain} {Integer} {Matrices} with {Single} {Eigenvalue} over the {Ring} of {Integers}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {763--770},
     publisher = {mathdoc},
     volume = {105},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a9/}
}
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S. V. Sidorov. On the Similarity of Certain Integer Matrices with Single Eigenvalue over the Ring of Integers. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 763-770. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a9/