Constructing units in commutative group rings

DOI10.1007/BF02567067zbMath0773.16016MaRDI QIDQ1197346

Klaus Hoechsmann

Publication date: 16 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155706

zbMATH Keywords

finite Abelian groupunit groupintegral group ringfree Abelian subgroup of finite index

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

Unnamed Item ⋮ Computing generators of the unit group of an integral Abelian group ring. ⋮ Cyclotomic units over finite fields ⋮ Equivalence of Lattice Orbit Polytopes ⋮ Kummer's lemma for cyclic \(2\)-groups ⋮ Lattices of finite abelian groups ⋮ Units of ℤ(C_p × C₂) and ℤ(C_p × C₂ × C₂) ⋮ Writing units of integral group rings of finite abelian groups as a product of Bass units ⋮ On the index of a free abelian subgroup in the group of central units of an integral group ring.

Cites Work

• Unnamed Item
• Units of integral group rings of metabelian groups
• Local units and circular index in abelian \(p\)-group rings
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Constructible units in Abelian p-group rings
• Über die Torsion einer Überdeckung.
• The Units of Group-Rings