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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1974 Volume 38, Issue 6, Pages 1202–1220 (Mi im2006)

This article is cited in 6 papers

Subgroups of the unitriangular group

V. M. Levchuk


Abstract: In this article we shall construct the subgroups, normal subgroups and characteristic subgroups of unitriangular groups over associative rings. We obtain new connections between the structure of the unitriangular group $UT(n,K)$ and that of the nilpotent ring $NT(n,K)$, whose adjoint group is isomorphic to the unitriangular group.

UDC: 519.4

MSC: Primary 20H25, 20E20; Secondary 15A30

Received: 14.06.1972
Revised: 28.08.1973


 English version:
Mathematics of the USSR-Izvestiya, 1974, 8:6, 1191–1208

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© Steklov Math. Inst. of RAS, 2024