Automorphism groufs and subgroups of sl2over division rings

DOI10.1080/00927877908822416zbMath0419.20033OpenAlexW2010038434MaRDI QIDQ3852387

Seymour Bachmuth, Horace Y. Mochizuki

Publication date: 1979

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927877908822416

zbMATH Keywords

automorphism groupgroup ringlower central seriesfinitely generated subgroupcommon denominatornoncyclic free subgroupOre domainiterated skew polynomial ringpolyinfinite cyclic group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (4)

Free subgroups in linear groups over some skew fields ⋮ On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group ⋮ Linear groups ⋮ Automorphisms of groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On embedding of group rings in division rings
• \(K_0\) and noetherian group rings
• Free subgroups in linear groups
• Some properties of a Magnus embedding
• On a theorem of Marshall Hall
• Beweis eines Satzes über diskrete Gruppen
• Some remarks on group actions on trees
• Automorphisms of solvable groups

This page was built for publication: Automorphism groufs and subgroups of sl₂over division rings