Normal Complements of the Trivial Units in the Unit Group of Some Integral Group Rings

DOI10.1081/AGB-120016770zbMath1022.16021OpenAlexW1987268567MaRDI QIDQ4803365

Ann Dooms, Eric Jespers

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120016770

zbMATH Keywords

finite groupsgroups of unitsdihedral groupsintegral group ringsnormal complements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Abelianization of the unit group of an integral group ring ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group

Cites Work

• Unnamed Item
• Units of integral group rings of metabelian groups
• Describing units of integral group rings of some 2-groups

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