On embedding left-ordered groups into division rings.

DOI10.1515/forum-2012-0070zbMath1312.16015OpenAlexW2318378076MaRDI QIDQ487143

Robert P. Sperner, Joachim Graeter

Publication date: 19 January 2015

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2012-0070

zbMATH Keywords

embeddingsautomorphismsdivision ringsformal power seriesembedding groups into skew fieldsenveloping skew-fieldsleft-ordered groupsmultiplicative groups of skew fields

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Finite-dimensional division rings (16K20) Ordered groups (06F15) Units, groups of units (associative rings and algebras) (16U60) Ordered groups (group-theoretic aspects) (20F60) Skew fields, division rings (12E15) Associative rings of fractions and localizations (16S85)

Related Items (3)

On central extensions of \(\operatorname{SL}(2,F)\) admitting left-orderings ⋮ Free division rings of fractions of crossed products of groups with Conradian left-orders ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups

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