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

DOI10.1006/jabr.1996.6926zbMath0873.20003OpenAlexW2060224401MaRDI QIDQ1357561

Guilherme Leal, Ángel Del Río

Publication date: 4 September 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6926

zbMATH Keywords

finite groupssubgroups of finite indexgroups of unitsintegral group ringsWedderburn componentsdirect products of free 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) Units, groups of units (associative rings and algebras) (16U60)

Related Items (7)

COMPUTING LARGE DIRECT PRODUCTS OF FREE GROUPS IN INTEGRAL GROUP RINGS ⋮ Unnamed Item ⋮ 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. ⋮ Group algebras of Kleinian type and groups of units. ⋮ Subnormal subgroups of group ring units ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

Cites Work

• Classification of finite subgroups of \(2\times 2\) matrices over a division algebra of characteristic zero
• Products of free groups in the unit group of integral group rings
• Free torsion-free normal complements in integral group rings
• Describing units of integral group rings of some 2-groups
• Free Subgroups in the Unit Groups of Integral Group Rings
• The group of units of the integral group ring ℤD 4 *
• Finite Groups With Isomorphic Group Algebras
• Finite Subgroups of Division Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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