Isomorphisms of matrix groups over commutative rings

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Petecsuk_L_Petecsuk_J_Isomorphisms_of_matrix_groups_over_commutative_rings_2017.pdf (315.4 KB)

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2017-01-26

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Bolyai Institute, University of Szeged

Abstract

Abstract. We give a description of the isomorphism classes of matrix groups over commutative rings with 1 and that have dimension more than 3 and containing the group of elementary transvections. We characterize those homomorphisms of matrix groupe, which satisfy the so-called (*) condition. Such homomorphisms can be constructed with the help of the standard homomorphism. We apply the characterization obtained to the description of the above class of matrix groups.

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http://pub.acta.hu/acta/showCustomerVolume.action?id=48928&dataObjectType=volume&noDataSet=true&style=

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linear group over ring, homomorphism of matrix group, elementary subgroup over ring

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Vasyl Petechuk, Julia Petechuk: Isomorphisms of matrix groups over commutative rings. In Acta scientiarum mathematicarum: acta Universitatis Szegediensis. 2017. Volume 83., Numbers 1-2. pp. 113-123.

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https://dspace.kme.org.ua/handle/123456789/1582

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Petecsuk Júlia

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