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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2014 Volume 11, Pages 119–129 (Mi semr475)
Mathematical logic, algebra and number theory

On stability of unipotent automorphism groups of a vector space over a division ring

A. A. Korobov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: For a wide class of vector spaces over skew-fields we prove that a group of unipotent automorphisms is conjugate to a group of triangular matrices.

Keywords: skew linear groups, unipotent subgroups, division ring, stability subgroup.

UDC: 512.86

MSC: 20H25

Received June 20, 2013, published February 13, 2014


© Steklov Math. Inst. of RAS, 2025