Central height of the unit group of an integral group ring

DOI10.1080/00927879308824756zbMath0788.16024OpenAlexW1966562745MaRDI QIDQ3136863

Satya R. Arora, Inder Bir Singh Passi

Publication date: 6 October 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824756

zbMATH Keywords

torsion subgroupfinite groupunit groupsintegral group ringsupper central seriesgroup of normalized unitscentral height

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items

On the normalizer property for integral group rings ⋮ Unnamed Item ⋮ Integral group rings with all central units trivial ⋮ Units in orders and integral semigroup rings. ⋮ Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra ⋮ Conjugates of units in integral group rings ⋮ Hypercentral units in integral group rings ⋮ The ranks of central unit groups of integral group rings of alternating groups. ⋮ Some Results on Hypercentral Units in Integral Group Rings ⋮ On hypercentral units in integral group rings ⋮ Integral group rings with all central units trivial: solvable groups ⋮ The Upper Central Series of the Unit Group of an Integral Group Ring ⋮ The multiplicative Jordan decomposition in group rings ⋮ Some results on FC-hypercentral units of integral group rings ⋮ Hypercentral units in alternative integral loop rings ⋮ On the normalizer problem for integral group rings of torsion groups

Cites Work

• Finite groups in which the non-normal subgroups have nontrivial intersection
• Jordan decomposition and hypercentral units in integral group rings
• Unnamed Item