A characterization of units in \(\mathbb{Z} [A_4]\)

DOI10.1016/0021-8693(80)90102-7zbMath0447.16006OpenAlexW2005040965MaRDI QIDQ1146236

P. J. Allen, Charles Hobby

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90102-7

zbMATH Keywords

group of unitsconjugacy problemintegral group ringtorsion-free normal complement

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

On Congruence Subgroups and Units in ZS₄, Normal complement problem over a finite field of characteristic 2, Unnamed Item, Certain conjugacy classes of units in integral group rings of metacyclic groups, Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups, Units in integral group rings, ON THE UNITS OF THE INTEGRAL GROUP RING Z[G × C_p], Einheiten in Z(D//2m), Units of integral group rings of metabelian groups, A characterization of units in zs₄, On the prime graph question for integral group rings of 4-primary groups. II., A counterexample to the first Zassenhaus conjecture, From examples to methods: Two cases from the study of units in integral group rings, Conjugacy classes of torsion units of the integral group ring of d_p, Free torsion-free normal complements in integral group rings, Integral group rings: Groups of units and classical K-theory

Cites Work

• The Group of Units of the Integral Group Ring ZS₃
• The group of units of the integral group ring ℤD 4 *
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