M. S. Raghunathan, A note on quotients of real algebraic groups by arithmetic subgroups, Invent. Math. 4 (1968), pp. 318-355.Raghunathan M.S.: A Note on quotients of real algebraic groups by arithmetic subgroups. Invent. Math. 4 , 318–335 (1968) MathSciNet MATH View Article...
Reductive Subgroups of Exceptional Algebraic Groups Reductive subgroups of exceptional algebraic groups, Mem. Amer. Math. Soc. 121 (1996), no. 580.Liebeck, M., Seitz, G.: Reductive subgroups of ... MW Liebeck,GM Seitz - 《Memoirs of the American Mathematical Society》...
We prove that the integral K-theoretic Novikov conjecture holds for torsion free arithmetic subgroups of linear algebraic groups. Ji,Lizhen - 《Journal of Differential Geometry》 被引量: 74发表: 2004年 Finiteness properties of solvable S-arithmetic groups over function fields We prove that the integ...
(and followed up by D. R. Grayson [Lect. Notes Math. 966, 69-90 (1982; Zbl 0502.14004)]) showing that the K-groups of the ring A of regular functions on an affine nonsingular curve over a finite field is finitely generated (and similarly for the ring of integers of an algebraic ...
Conjugacy of Subgroups in Arithmetic Groups with rational coefficients, has a solution in integers. A similar procedure will in fact decide whether such an equation over a (suitably specified) algebraic number field k has a solution in any (suitably specified) order in k; but we s... FJ Gru...
This generalizes a result of Kneser ( Kn]), who proved it for n = 1; 2. An immediate consequence is that one only has to deal with one prime at a time in the investigation of niteness properties of S {arihmetic groups. Also, one can use the strong results on algebraic groups ...
computableforcertainmappingfunctorsby themethodsof theappendixto[FG].Thegroupsofmaps considered heremay beviewedästheÄ-pointsof alinearalgebraic group, whereRis asubringof thecoordinate ringof anaffinevariety,andthispaperoffersacharacterizationof agood classof ringsRdefining"arithmeticsubgroups"oflinear ...
Two of its subgroups are of particular interest: Special group of arithmetic functions whose leading term is 1. Convolutive group of multiplicative functions. Unlike some of their subgroups, those convolutive groups are also stable under pointwise multiplication, for which the following distributive...
We show that no finite-index subgroup of SL(2,A) is left orderable. (Equivalently, these subgroups have no nontrivial orientation-preserving actions on the real line.) This implies that if G is an isotropic F-simple algebraic group over an algebraic number field F, then no nonarchimedean ...
Rigidity and automorphism groups of solvable arithmetic groups A solvable linear algebraic group G which is defined over is called reduced if the kernel of the adjoint action of G on the unipotent radical Ru(G) is contained in Ru(G). We prove a rigidity theorem for arithmetic subgroups Γ of...