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 +9 · 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) #math.GR #math.RA #msc:11R27 #msc:16A26 #msc:16U60

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

30 pages, Replaced on October 17 2006 after major revision

openalex publication_date 2005/11/18 · arxiv created 2006/10/17 · arxiv updated 2009/12/01 · 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

Related

• Structure of group rings and the group of units of integral group rings: an invitation
• Describing units of integral group rings up to commensurability
• Writing units of integral group rings of finite abelian groups as a product of Bass units
• Central units of integral group rings*
• Free subgroups in group rings