Free torsion-free normal complements in integral group rings

DOI10.1080/00927879308824751zbMath0788.16025OpenAlexW2018978987MaRDI QIDQ3136858

Michael M. Parmenter

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824751

zbMATH Keywords

presentationunitsgeneratorsfinite groupintegral group ringfree complement

Mathematics Subject Classification ID

Group rings (16S34) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

COMPUTING LARGE DIRECT PRODUCTS OF FREE GROUPS IN INTEGRAL GROUP RINGS ⋮ Unnamed Item ⋮ Products of free groups in the unit group of integral group rings. II ⋮ ON THE UNITS OF THE INTEGRAL GROUP RING Z[G × C_p] ⋮ Abelianization of the unit group of an integral group ring ⋮ Groups of units of integral group rings of Kleinian type ⋮ Free Normal Complements and the Unit Group of Integral Group Rings ⋮ Units of group rings

Cites Work

• Unnamed Item
• Unnamed Item
• A characterization of units in \(\mathbb{Z} [A_4\)]
• Units in integral group rings
• Units of integral group rings of metabelian groups
• Unitary units in group rings of groups of order \(16\)
• Describing units of integral group rings of some 2-groups
• The Group of Units of the Integral Group Ring ZS₃
• The group of units of the integral group ring ℤD 4 *

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