Central Units in Metacyclic Integral Group Rings

DOI10.1080/00927870802158028zbMath1159.20005OpenAlexW2040527975MaRDI QIDQ3543395

Juan Jacobo Simón, Raul Antonio Ferraz

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802158028

zbMATH Keywords

finite groupsgroups of unitsintegral group ringsmetacyclic groupsunions of conjugacy classescentral units

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (10)

Group algebras of metacyclic groups over finite fields ⋮ Central units of integral group rings of monomial groups ⋮ Integral group rings with all central units trivial ⋮ Group rings of finite strongly monomial groups: central units and primitive idempotents. ⋮ Construction of central units in integral group rings of finite groups ⋮ Central units in some integral group rings ⋮ Central units of integral group rings ⋮ Units of ℤ(C_p × C₂) and ℤ(C_p × C₂ × C₂) ⋮ Central Units in ℤC_p,q ⋮ On the index of a free abelian subgroup in the group of central units of an integral group ring.

Cites Work

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• Simple components and central units in group algebras.
• Trivial Units in <i>RG</i>
• The torsion product property in alternative algebras ii
• Metacyclic groups
• Central units of integral group rings of nilpotent groups

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