Involutions and free pairs of bicyclic units in integral group rings

DOI10.1515/JGT.2010.019zbMath1209.16031OpenAlexW2051409985MaRDI QIDQ3060806

Donald S.Passman, Jairo Z. Goncalves

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1515/jgt.2010.019

zbMATH Keywords

finite groupssubgroups of finite indexinvolutionsfree groupsunit groupsintegral group ringsbicyclic unitsfree bicyclic pairs

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Bass units as free factors in integral group rings of simple groups. ⋮ Free unit groups in group rings and division rings: My collaboration with Don Passman ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Free groups in normal subgroups of the multiplicative group of a division ring. ⋮ Alternating units as free factors in the group of units of integral group rings ⋮ Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups

Cites Work

• Linear groups and group rings.
• Constructing free subgroups of integral group ring units
• Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring
• Bicyclic units, Bass cyclic units and free groups

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