Groups of units of integral group rings commensurable with direct products of free-by-free groups

2005/11/18 by Eric Jespers, Antonio Pita, Jespers, Eric +7 · 1 citation
Mathematics · #11R27 #16A26 #16U60 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0511472

openalex publication_date 2005/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the finite groups G such that the group of units of the integral group ring \mathbb Z G has a subgroup of finite index which is a direct product of free-by-free groups.

Citations

• On Monomial Characters and Central Idempotents of Rational Group Algebras
• Arithmetic Subgroups of Algebraic Groups

Cited by

• A unit theorem for products of groups with several ends and Applications

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