Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers

DOI10.1006/jabr.1993.1126zbMath0796.16025OpenAlexW1966502994MaRDI QIDQ1801896

Sudarshan K. Sehgal, Juergen Ritter

Publication date: 29 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1126

zbMATH Keywords

Frobenius groupsgroup of unitssolvable groupsunit groupintegral group ringBass cyclic unitssubgroup of finite indexgroup rings of finite groups

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, Degree 1 and 2 representations of nilpotent groups and applications to units of group rings, Multiplicities of irreducible components of restrictions of complex representations of finite groups to certain subgroups, ON THE UNITS OF THE INTEGRAL GROUP RING Z[G × C_p], Central units of integral group rings of nilpotent groups, Central units of the integral group ring $\mathbb {Z}A_5$, Construction of central units in integral group rings of finite groups, From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups, Free Normal Complements and the Unit Group of Integral Group Rings, Units of group rings, From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups, Generators of large subgroups of the unit group of integral group rings