Verbal subgroups and subalgebras in skew fields.

DOI10.1007/s10468-005-3570-yzbMath1090.16006OpenAlexW2066932579MaRDI QIDQ816639

A. I. Lichtman

Publication date: 23 February 2006

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-005-3570-y

zbMATH Keywords

embeddingsfree algebrasmultiplicative groupsskew fieldsgroup wordsLie polynomialsLie words

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Infinite-dimensional and general division rings (16K40) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• An embedding of the group algebra of a torsion-free one-relator group in a field
• Cohomological topics in group theory.
• Commutators in Division Rings
• An example of a skew field without a trace

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