Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups

DOI10.1090/S0002-9939-2015-12550-6zbMath1356.16018OpenAlexW1995471604MaRDI QIDQ5246868

Donald S.Passman, Jairo Z. Goncalves

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12550-6

zbMATH Keywords

dihedral groupintegral group ringnon-nilpotent groupbicyclic unitfree bicyclic pair

Mathematics Subject Classification ID

Group rings (16S34) Free nonabelian groups (20E05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Free unit groups in group rings and division rings: My collaboration with Don Passman ⋮ Star group identities on units of group algebras

Cites Work

• Unnamed Item
• Involutions and free pairs of bicyclic units in integral 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

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