Free group algebras in Malcev-Neumann skew fields of fractions

2011/07/12 by Javier Sánchez, Sánchez, Javier
Mathematics · #(2010) 16K40 #16S35 #16W60 #20F60 #6F15 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:16K40 #msc:16S35 #msc:16W60 #msc:20F60 #msc:6F15

paper · pdf · doi:10.48550/arxiv.1107.2429

arxiv created 2011/07/12 · arxiv updated 2011/07/14

Abstract

Let K be a skew field and (G,<) an ordered group. We show that the skew field generated by the group ring K[G] inside the Malcev-Neumann series ring K((G;<)) contains noncommutative free group algebras.

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