On Congruence Subgroups and Units in ZS4

DOI10.1081/AGB-120027922zbMath1077.16034OpenAlexW2152456444MaRDI QIDQ3154483

Sugata Gangopadhyay, Rajendra K. Sharma

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120027922

zbMATH Keywords

presentationsgeneratorssubgroups of finite indexintegral group ringscongruence subgroupsnormalized unitsbicyclic unitsReidemeister-Schreier rewriting process

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

The unit group of \(FS_4\).

Cites Work

• Unnamed Item
• A characterization of units in \(\mathbb{Z} [A_4\)]
• Units of integral group rings of metabelian groups
• A characterization of units in zs₄
• On units in ZS₃

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