Constructing free groups in a normal subgroup of the multiplicative group of division rings.

DOI10.1515/jgth-2015-0018zbMath1335.16023OpenAlexW2256138839MaRDI QIDQ500218

Jairo Z. Goncalves

Publication date: 1 October 2015

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2015-0018

zbMATH Keywords

normal subgroupsfree subgroupsmultiplicative groups of division ringspolycyclic-by-finite subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Infinite-dimensional and general division rings (16K40) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Free symmetric pairs in the field of fractions of enveloping Lie algebras with involution ⋮ Free pairs of symmetric elements in normal subgroups of division rings ⋮ On free subgroups in division rings ⋮ Free subgroups in \(k(x_{1},\ldots,x_{n})(X;\sigma)\) and \(k(x,y)(X;\sigma)\)

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