Non-commutative determinants and automorphisms of groups

DOI10.1080/00927879708825874zbMath0873.20021OpenAlexW2089165921MaRDI QIDQ3124359

Vladimir Shpilrain

Publication date: 6 May 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825874

zbMATH Keywords

group algebrasgeneratorsfinitely generated groupsinvertibilityFox derivativesJacobian matricesNielsen transformationsaugmentation idealnoncommutative determinants

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Fundamental group, presentations, free differential calculus (57M05)

Cites Work

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• Generating systems of groups and Reidemeister-Whitehead torsion
• Free differential calculus. I: Derivation in the free group ring
• Non-tame automorphisms of free nilpotent groups
• AUTOMORPHISMS OF F/R′ GROUPS
• IA automorphisms of free and free metabelian groups
• Free differential calculus. IV: The quotient groups of the lower central series