Arithmetic rigidity and units in group rings

DOI10.1090/S0002-9947-01-02816-1zbMath0978.20002MaRDI QIDQ2731959

Francis E. A. Johnson

Publication date: 30 July 2001

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

zbMATH Keywords

subgroups of finite indexunit groupsintegral group ringscommensurable groupsunits of group ringsunits up to finite index

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Arithmetic subgroups of algebraic groups
• Galois Cohomology
• Linear properties of poly-Fuchsian groups
• Groups with homological duality generalizing Poincaré duality
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• On analytic families of polarized abelian varieties and automorphic functions
• On torsion-free groups with infinitely many ends
• Involutorial simple algebras and real Riemann matrices
• On the Existence of Irreducible Discrete Subgroups in Isotypic Lie Groups of Classical Type
• On the uniqueness of arithmetic structures
• Density and maximality of arithmetic subgroups.
• On the Brauer-Speiser theorem
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• The Nielsen realization problem

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