Work

Overgroups of exterior powers of an elementary group. levels

Year: 2022

Type: article

Abstract: We prove a first part of the standard description of groups H lying between an exterior power of an elementary group mEn⁡(R) and a general linear group GL(nm)⁡(R) for a commutative ring R,2∈R∗ and n⩾3m. The description uses the classical notion of a level: for every group H we find a unique ideal A of the ground ring R, which describes H.

Source: Linear and Multilinear Algebra

DOI: 10.1080/03081087.2022.2160422

Authors: Roman Lubkov, Ilia Nekrasov

Institutions: Russian Academy of Sciences, St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute, University of Michigan

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G472809403