Generators of large subgroups of units of integral group rings of nilpotent groups

DOI10.1006/jabr.1995.1121zbMath0829.16022OpenAlexW2064462092MaRDI QIDQ1895552

Antonio Giambruno, Sudarshan K. Sehgal

Publication date: 17 January 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1121

zbMATH Keywords

subgroups of finite indexgroup ringsgroups of unitsfinite nilpotent groupsBass cyclic unitsbicyclic unitsgeneric units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

Unnamed Item ⋮ Degree 1 and 2 representations of nilpotent groups and applications to units of group rings ⋮ Nilpotent decomposition in integral group rings ⋮ Units of integral group rings of hamiltonian groups^* ⋮ Rational group algebras of finite groups: from idempotents to units of integral group rings. ⋮ From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups ⋮ Gauss units in integral group rings ⋮ The multiplicative Jordan decomposition in the integral group ring \(\mathbb{Z} [Q_8 \times C_p\)]

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