Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable

DOI10.1090/S0894-0347-02-00393-4zbMath1008.16018OpenAlexW2155013596MaRDI QIDQ4544952

Gary M. Seitz, Yoav Segev, Andrei S. Rapinchuk

Publication date: 7 August 2002

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-02-00393-4

zbMATH Keywords

valuationsdivision algebrascommuting graphsmultiplicative groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

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