Free group algebras in Malcev-Neumann skew fields of fractions
classification
🧮 math.RA
math.GR
keywords
groupskewalgebrasfieldfreemalcev-neumannringcontains
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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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