Products of free groups in the unit group of integral group rings

DOI10.1006/jabr.1996.0050zbMath0846.20006OpenAlexW4212879930MaRDI QIDQ1911632

Guilherme Leal, Eric Jespers, Ángel Del Río

Publication date: 3 June 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0050

zbMATH Keywords

subgroups of finite indexgroup of unitsintegral group ringsnilpotent finite groupsWedderburn componentsdirect products of free groupsmetabelian 2-groups

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 (9)

COMPUTING LARGE DIRECT PRODUCTS OF FREE GROUPS IN INTEGRAL GROUP RINGS ⋮ Unnamed Item ⋮ Products of free groups in the unit group of integral group rings. II ⋮ Groups of units of integral group rings commensurable with direct products of free-by-free groups. ⋮ Bass units as free factors in integral group rings of simple groups. ⋮ Free products of abelian groups in the unit group of integral group rings ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Groups of units of integral group rings of Kleinian type ⋮ Constructing free subgroups of integral group ring units

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