Automatic stochastic control of impulses on a three-dimensional crystallographic lattice
Automatic structures, rational growth, and geometrically finite hyperbolic groups.
Automorfismi che fissano i centralizzanti di un gruppo
Automorfismi involutori di p-gruppi finiti
Automorphic loops and metabelian groups
Given a uniquely 2-divisible group , we study a commutative loop which arises as a result of a construction in “Engelsche elemente noetherscher gruppen” (1957) by R. Baer. We investigate some general properties and applications of “” and determine a necessary and sufficient condition on in order for to be Moufang. In “A class of loops categorically isomorphic to Bruck loops of odd order” (2014) by M. Greer, it is conjectured that is metabelian if and only if is an automorphic loop. We...
Automorphic realization of residual Galois representations
We show that it is possible in rather general situations to obtain a finite-dimensional modular representation of the Galois group of a number field as a constituent of one of the modular Galois representations attached to automorphic representations of a general linear group over , provided one works “potentially.” The proof is based on a close study of the monodromy of the Dwork family of Calabi–Yau hypersurfaces; this in turn makes use of properties of rigid local systems and the classification...
Automorphic subsets of the -dimensional cube.
Automorphism Groups of Algebraic Function Fields.
Automorphism Groups of Algebraic Number Fields.
Automorphism groups of compact Klein surfaces with one boundary component.
Automorphism Groups of Compact Planar Klein Surfaces.
Automorphism groups of complements of points
Automorphism Groups of Designs.
Automorphism Groups of Fields.
Automorphism Groups of Finite Distributive Lattices with a Given Sublattice of Fixed Points.
Automorphism groups of free metabelian nilpotent groups.
Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces.
Automorphism groups of polycyclic-by-finite groups and arithmetic groups
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...
Automorphism Groups of Posets and Lattices with a Given Subset of Fixed Points.
Automorphism groups of right-angled buildings: simplicity and local splittings
We show that the group of type-preserving automorphisms of any irreducible semiregular thick right-angled building is abstractly simple. When the building is locally finite, this gives a large family of compactly generated abstractly simple locally compact groups. Specialising to appropriate cases, we obtain examples of such simple groups that are locally indecomposable, but have locally normal subgroups decomposing non-trivially as direct products, all of whose factors are locally normal.