ON THE UNITS OF THE INTEGRAL GROUP RING Z[G × Cp]

DOI10.1142/S0219498808002898zbMath1151.16035MaRDI QIDQ3521673

Richard M. Low

Publication date: 26 August 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

unit groupsintegral group ringsbicyclic unitsunit problemBass-cyclic units

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

Unnamed Item ⋮ Units in some group rings over the ring of p-cyclotomic integers ⋮ A note on simple trinomial units inU1(ZCp) ⋮ Units of ℤ(C_p × C₂) and ℤ(C_p × C₂ × C₂)

Cites Work

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• A characterization of units in \(\mathbb{Z} [A_4\)]
• Units in integral group rings
• Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers
• Free torsion-free normal complements in integral group rings
• The Group of Units of the Integral Group Ring ZS₃
• A characterization of units in zs₄
• Integral Group Rings of Some p-Groups
• Units OF Z(G × C₂)
• Units of group rings of groups of order 16
• Bicyclic Units in some Integral Group Rings
• Class groups for integral representations of metacyclic groups