Central units of the integral group ring $\mathbb {Z}A_5$

DOI10.1090/S0002-9939-97-03626-5zbMath0866.16021MaRDI QIDQ5690914

Yuan Lin Li, Michael M. Parmenter

Publication date: 9 January 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Pell's equationintegral group ringscentral 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

Units in some group rings over the ring of p-cyclotomic integers, Unnamed Item, Unnamed Item, Integral group rings with all central units trivial, Construction of central units in integral group rings of finite groups, Units of ℤ(C_p × C₂) and ℤ(C_p × C₂ × C₂), Central Idempotents and Units in Rational Group Algebras of Alternating Groups, 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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• Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups
• Integral Group Rings with Trivial Central Units
• Central units of integral group rings of nilpotent groups