INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS

DOI10.1142/S0219498811004872zbMath1267.16034OpenAlexW2004584138MaRDI QIDQ3117894

Jairo Z. Goncalves, Donald S.Passman

Publication date: 1 March 2012

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

Full work available at URL: https://doi.org/10.1142/s0219498811004872

zbMATH Keywords

symmetric groupsfinite groupsfree subgroupsinvolutionsunit groupsintegral group ringsBass cyclic 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 (2)

Bass units as free factors in integral group rings of simple groups. ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

Cites Work

• Linear groups and group rings.
• Unnamed Item

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