Subnormal subgroups of group ring units

DOI10.1090/S0002-9939-98-04126-4zbMath0894.16016OpenAlexW1560014029MaRDI QIDQ4383000

Sudarshan K. Sehgal, Zbigniew S. Marciniak

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04126-4

zbMATH Keywords

finite subgroupssubgroups of finite indexfree subgroupsgroups of unitsintegral group rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Chains and lattices of subgroups, subnormal subgroups (20E15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Unnamed Item ⋮ On free products inside the unit group of integral group rings ⋮ Constructing free products of cyclic subgroups inside the group of units of integral group rings

Cites Work

• Products of free groups in the unit group of integral group rings. II
• Constructing free subgroups of integral group ring units
• Subnormal Subgroups in U( Z G)
• Free Subgroups in the Unit Groups of Integral Group Rings
• Free Normal Complements and the Unit Group of Integral Group Rings
• Construction of free subgroups in the group of units of modular group algebras
• Free products of abelian groups in the unit group of integral group rings
• Structure Theorems for a Special Class of Banach Algebras
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