Soluble normal subgroups of skew linear groups

DOI10.1016/0022-4049(86)90063-0zbMath0604.20051OpenAlexW2008621141MaRDI QIDQ1083547

Bertram Arthur Frederick Wehrfritz

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90063-0

zbMATH Keywords

group of unitsdivision ringmatrix ringcentrelocally finiteabelian normal subgroupabsolutely irreducible groupnormal series of finite length

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Local properties of groups (20E25) Division rings and semisimple Artin rings (16Kxx)

Related Items (3)

Soluble and locally soluble skew linear groups ⋮ Locally nilpotent skew linear groups II ⋮ Free subgroups in maximal subgroups of skew linear groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On absolutely irreducible skew linear groups in characteristic zero
• Hyperabelian skew-linear groups
• On certain soluble skew-linear groups
• The structure of several classes of matrix groups over a division ring
• Solvable Linear Groups over Division Rings
• Locally Finite Normal Subgroups of Absolutely Irreducible Skew Linear Groups
• FAITHFUL REPRESENTATIONS OF FINITELY GENERATED ABELIAN-BY-POLYCYCLIC GROUPS OVER DIVISION RINGS
• Soluble-by-periodic skew linear groups
• Zero Divisors and Idempotents in Group Rings
• Complete Reducibility in Skew Linear Groups
• Nilpotence in Certain Linear Groups Over Division Rings
• Subrings of Noetherian Rings

This page was built for publication: Soluble normal subgroups of skew linear groups