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We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic hull functor initiated by Mostow. We thus make applicable refined methods from the theory of algebraic and arithmetic groups. We also construct examples of polycyclic-by-finite groups which have an automorphism group which does not contain an arithmetic...

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Displaying 1 – 20 of 257

$(*)$ -groups and pseudo-bad groups.

A Canonical Filtration for Certain Rational Modules.

A classification of reductive linear groups.

A classification of the nilpotent triangular matrices

A Filtration for Rational Modules.

A modular compactification of the general linear group.

A new matrix representation theorem for semigroups.

A note on the characters of the projective modules for the infinitesimal subgroups of a semisimple algebraic group.

A Specialization Theorem for Certain Weyl Group Representations and an Application to the Green Polynomials of Unitary Groups.

A Stiefel complex for the orthogonal group of a field.

Abstract homomorphisms of simple algebraic groups

Algebraic groups with a distinguished conjugacy class.

Algebraic monoids with group kernels.

Algebraic zip data.

An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.

Automorphism groups of polycyclic-by-finite groups and arithmetic groups

Automorphismes et deformations des varietes de Borel

Autour d'une conjecture de Serge Lang.

Central extensions of reductive groups by $K_{2}$

Classification des espaces homogènes sphériques

Currently displaying 1 – 20 of 257