scientific article

zbMath0704.20043MaRDI QIDQ3483472

A. I. Lichtman

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

general linear groupsenveloping algebraHirsch numberuniversal field of fractionslocally nilpotent subgrouppolycyclic-by-finite subgroupAbelian-by-finite Lie algebragroup ring of a free groupsolvability class

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Universal enveloping (super)algebras (17B35) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25)

Related Items (4)

Polycyclic group algebras and theorems of Harper and Lichtman ⋮ On group rings of linear groups ⋮ The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I ⋮ Some nilpotent and locally nilpotent matrix groups

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