On soluble skew linear groups over finite-dimensional division algebras.

DOI10.1016/j.jpaa.2006.06.008zbMath1122.20025OpenAlexW1983377740MaRDI QIDQ869205

Bertram Arthur Frederick Wehrfritz

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.06.008

zbMATH Keywords

subgroups of finite indexmultiplicative groupsderived lengthsfinite-dimensional division ringsperiodic soluble subgroupssoluble skew linear groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Other matrix groups over rings (20H25) Derived series, central series, and generalizations for groups (20F14) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Crossed product criteria and skew linear groups. II.
• Crossed product criteria and skew linear groups
• On a recent theorem of M. Shirvani on subgroups of division algebras.
• The soluble length of soluble linear groups
• On soluble-by-finite subgroups of division algebras.
• Some matrix groups over finite-dimensional division algebras
• Observations on group rings
• THE DERIVED LENGTH OF A SOLUBLE SUBGROUP OF A FINITE-DIMENSIONAL DIVISION ALGEBRA
• The Fitting subgroup of a linear solvable group

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