Units of integral group rings of hamiltonian groups*

DOI10.1080/00927879508825238zbMath0821.16036OpenAlexW2126777578MaRDI QIDQ4324219

Guilherme Leal, Eric Jespers

Publication date: 26 February 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825238

zbMATH Keywords

subgroups of finite indexnilpotent groupsdirect productscyclic groupsquaternion groupunit groupsintegral group rings

Mathematics Subject Classification ID

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)

Unnamed Item ⋮ Degree 1 and 2 representations of nilpotent groups and applications to units of group rings ⋮ Units of group rings

Cites Work

• Unnamed Item
• Generators of large subgroups of the unit group of integral group rings
• Generators of large subgroups of units of integral group rings of nilpotent groups
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• On the representations of \(-1\) as a sum of squares in a cyclotomic field
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups
• THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE

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