zbMath0841.20046MaRDI QIDQ4002684
Andrei S. Rapinchuk, Vladimir Platonov
Publication date: 23 January 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Explicit forms of the trace formula for \(\mathrm{GL}(2)\) ⋮
On the Tits indices of absolutely almost simple algebraic groups over local and global fields ⋮
Ramanujan complexes and golden gates in \(PU(3)\) ⋮
Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮
On the congruence kernel for simple algebraic groups ⋮
On representation varieties of free abelian groups ⋮
On multiplicity in restriction of tempered representations of \(p\)-adic groups ⋮
Bounded equidistribution of special subvarieties in mixed Shimura varieties ⋮
Nonemptiness of Newton strata of Shimura varieties of Hodge type ⋮
Actions of arithmetic groups on homology spheres and acyclic homology manifolds ⋮
The centralizer of a classical group and Bruhat-Tits buildings. ⋮
Ekedahl-Oort and Newton strata for Shimura varieties of PEL type ⋮
Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\) ⋮
On certain Fourier coefficients of Eisenstein series on \(G_2\) ⋮
Quantitative multiple mixing ⋮
On growth of systole along congruence coverings of Hilbert modular varieties ⋮
Diagonal actions in positive characteristic ⋮
Planes in four-space and four associated CM points ⋮
Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients ⋮
Simultaneous supersingular reductions of CM elliptic curves ⋮
Multiply minimal points for the product of iterates ⋮
A short proof of Timashev's theorem on the real component group of a real reductive group ⋮
Representation growth of linear groups ⋮
On some arithmetic questions of reductive groups over algebraic extensions of local and global fields ⋮
Cusps of Picard modular surfaces ⋮
Rigid geometric structures, isometric actions, and algebraic quotients ⋮
Polynomial effective density in quotients of \(\mathbb{H}^3\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮
Exponential higher dimensional isoperimetric inequalities for some arithmetic groups. ⋮
Characters of algebraic groups over number fields ⋮
On Galois cohomology of semisimple groups over local and global fields of positive characteristic. III ⋮
Diameter of homogeneous spaces: an effective account ⋮
Character rigidity of simple algebraic groups ⋮
Rational points on certain homogeneous varieties ⋮
Random walks, spectral gaps, and Khintchine's theorem on fractals ⋮
Hyperbolic Ax-Lindemann theorem in the cocompact case ⋮
Obstructions to weak approximation for reductive groups over \(p\)-adic function fields ⋮
Ax-Lindemann for \(\mathcal{A}_g\) ⋮
Linear algebraic groups with good reduction ⋮
Image of the Burau representation at \(d\)-th roots of unity. ⋮
Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh ⋮
Finiteness theorems for algebraic tori over function fields ⋮
Arithmetic rigidity and units in group rings ⋮
Quasi-isometric rigidity of higher rank \(S\)-arithmetic lattices. ⋮
The integral Novikov conjectures for \(S\)-arithmetic groups. I ⋮
On the growth of torsion in the cohomology of arithmetic groups ⋮
On counting certain abelian varieties over finite fields ⋮
On Galois cohomology of semisimple groups over local and global fields of positive characteristic ⋮
Good reduction of algebraic groups and flag varieties ⋮
Rigidity of group actions on homogeneous spaces. III ⋮
On some Hasse principles for algebraic groups over global fields. II ⋮
Automata and square complexes. ⋮
GALOIS LATTICES AND REDUCTIONS OF ALGEBRAIC TORI ⋮
Diophantine approximation with restricted numerators and denominators on semisimple groups ⋮
Linnik's problems and maximal entropy methods ⋮
Minimal anisotropic groups of higher real rank ⋮
Double cosets of stabilizers of totally isotropic subspaces in a special unitary group. II ⋮
Quantitative Oppenheim conjecture for \(S\)-arithmetic quadratic forms of rank \(3\) and \(4 \) ⋮
Local-global principles for norm one tori over semi-global fields ⋮
Codes from unit groups of division algebras over number fields ⋮
The twisted forms of a semisimple group over an \(\mathbb{F}_q\)-curve ⋮
Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups ⋮
Products of commutators on a general linear group over a division algebra ⋮
Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A2 ⋮
Explicit Construction of Ramanujan Bigraphs ⋮
On normal subgroups of the unit group of a quaternion algebra over a Pythagorean field ⋮
Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families ⋮
Geometric construction of homology classes in Riemannian manifolds covered by products of hyperbolic planes ⋮
Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups ⋮
Almost-minimal nonuniform lattices of higher rank ⋮
Foliations, Shimura Varieties, and the Green-Griffiths-Lang Conjecture ⋮
The universal unramified module for \(\mathrm{GL}(n)\) and the Ihara conjecture ⋮
Arithmetic hyperbolic reflection groups ⋮
On profinite subgroups of an algebraic group over a local field ⋮
Ordinary points \(\bmod\, p\) of \(\operatorname{GL}_n(\mathbb{R})\)-locally symmetric spaces ⋮
Stability in the homology of unipotent groups ⋮
Quasi-isometric bounded generation by \(\mathbb{Q}\)-rank-one subgroups ⋮
$E_8$, the most exceptional group ⋮
Effectivity of uniqueness of the maximal entropy measure on -adic homogeneous spaces ⋮
LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS ⋮
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields ⋮
On the complexity of reductive group actions over algebraically nonclosed field and strong stability of the actions on flag varieties ⋮
Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\) ⋮
Chabauty limits of diagonal Cartan subgroups of \(\mathrm{SL}(n, \mathbb{Q}_p)\) ⋮
On the arithmetic of simple singularities of type \(E\) ⋮
Counting non-uniform lattices ⋮
Hyperbolic tessellation and colorings of trees ⋮
Non-virtually abelian anisotropic linear groups are not boundedly generated ⋮
The congruence topology, Grothendieck duality and thin groups ⋮
Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas ⋮
Algorithms determining finite simple images of finitely presented groups ⋮
How far are \(p\)-adic Lie groups from algebraic groups? ⋮
Centrality ⋮
An adelic arithmeticity theorem for lattices in products ⋮
Limiting distribution of translates of the orbit of a maximal \(\mathbb{Q}\)-torus from identity on \(\mathrm{SL}_N(\mathbb{R})/\mathrm{SL}_N(\mathbb{Z})\) ⋮
Finite groups and hyperbolic manifolds ⋮
Isometry groups of generalized Stiefel manifolds ⋮
Equidistribution in \(S\)-arithmetic and adelic spaces ⋮
Bounds for global coefficients in the fine geometric expansion of Arthur's trace formula for GL(\(n\)) ⋮
Functional equations of spherical functions on \(p\)-adic homogeneous spaces ⋮
A norm principle for class groups of reductive group schemes over Dedekind rings of integers of local and global fields
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