Units of ℤ(Cp × C2) and ℤ(Cp × C2 × C2)

DOI10.1080/00927872.2014.937539zbMath1346.16032OpenAlexW2215957518MaRDI QIDQ2802230

Renata Marcuz, Raul Antonio Ferraz

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.937539

zbMATH Keywords

cyclic groupsfinite Abelian groupsbasesgroups of unitsintegral group ringssymmetric unitscentre of unit groupstorsion free parts

Mathematics Subject Classification ID

Group rings (16S34) Units and factorization (11R27) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Units in some group rings over the ring of p-cyclotomic integers ⋮ Unnamed Item ⋮ Central units in some integral group rings

Cites Work

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• Units in regular Abelian p-group rings
• Constructing units in commutative group rings
• Simple components and central units in group algebras.
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Trivial Units in <i>RG</i>
• ON THE UNITS OF THE INTEGRAL GROUP RING Z[G × C_p]
• Central Units in Metacyclic Integral Group Rings
• HIGMAN’S CENTRAL UNIT THEORY, UNITS OF INTEGRAL GROUP RINGS OF FINITE CYCLIC GROUPS AND FIBONACCI NUMBERS
• Central units of integral group rings of nilpotent groups
• Central units of integral group rings^*
• Central units of the integral group ring $\mathbb {Z}A_5$
• The Units of Group-Rings

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