Geodesic
Involutions of the automorphism group of a completely decomposable finite-rank Abelian group
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 167-175

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In the framework of the study of questions of the definability of a completely decomposable Abelian group of finite rank by its group of automorphisms, it is shown that any set of pairwise permutable involutions of such a group of automorphisms, which has some additional properties, is conjugate with a set of diagonal involutions.
Keywords: completely decomposable group, involution
Mots-clés : automorphism group, matrix. 
@article{VTGU_2023_86_a12,
     author = {E. A. Timoshenko and I. V. Tretyakov},
     title = {Involutions of the automorphism group of a completely decomposable finite-rank {Abelian} group},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {167--175},
     publisher = {mathdoc},
     number = {86},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_86_a12/}
}
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E. A. Timoshenko; I. V. Tretyakov. Involutions of the automorphism group of a completely decomposable finite-rank Abelian group. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 167-175. http://geodesic.mathdoc.fr/item/VTGU_2023_86_a12/