Free products of abelian groups in the unit group of integral group rings

DOI10.1090/S0002-9939-98-04340-8zbMath0894.16015MaRDI QIDQ4383120

Guilherme Leal, Eric Jespers

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group algebrasfinite groupssubgroups of finite indexgroups of unitsintegral group ringsWedderburn decompositionsfree products of Abelian 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) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Unnamed Item ⋮ Subgroup separability in integral group rings. ⋮ Subnormal subgroups of group ring units ⋮ A structure theorem for the unit group of the integral group ring of some finite groups

Cites Work

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• 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
• Degree problems of representation theory over arbitrary fields of characteristic 0. On theorems of N. Ito and J. G: Thompson.
• Degree problems of representation theory over arbitrary fields of characteristic 0. Part 2: Groups which have only two reduces degrees.
• Free Normal Complements and the Unit Group of Integral Group Rings

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