Free pairs of symmetric and unitary units in normal subgroups of a division ring

DOI10.1142/S0219498817501080zbMath1367.16017OpenAlexW2423584497MaRDI QIDQ5739078

Jairo Z. Goncalves

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817501080

zbMATH Keywords

involutionsfree groupsdivision ringsunitary unitsfree symmetric

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Infinite-dimensional and general division rings (16K40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (3)

On the unit groups of rings with involution ⋮ Unnamed Item ⋮ Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras

Cites Work

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• Free symmetric and unitary pairs in division rings infinite-dimensional over their centers.
• Free products of units in algebras. I: Quaternion algebras
• Valuation methods in division rings
• Free groups in normal subgroups of the multiplicative group of a division ring.
• A Survey on Free Objects in Division Rings and in Division Rings with an Involution
• FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION
• Free subgroups in division rings generated by group rings of soluble groups
• Explicit free groups in division rings

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