Adjoint groups and the Mal'cev correspondence (a tale of four functors)
Affine braid group actions on derived categories of Springer resolutions
In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a “categorical version” of Kazhdan-Lusztig-Ginzburg’s construction of the affine Hecke algebra, and is used in particular by the first author and I. Mirković in the course...
Affine completeness of complete lattice ordered groups
Affine permutations and inversion multigraphs.
Affine permutations of type .
Affine Weyl groups as infinite permutations.
Alcune proprietà gruppali invarianti per semi-isomorfismi
Algebraic groups with a distinguished conjugacy class.
Algebraic properties of mapping class groups of surfaces
Algebraic sets and coordinate groups for a free nilpotent group of nilpotency class 2.
Algebraic zip data.
Algèbre des descentes et cogroupes dans les algèbres sur une opérade
Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem.
Algorithmic problems related to the direct product of groups.
Algorithmic verification of quasi-isometry of some HNN-extensions of Abelian groups.
Algorithmische Probleme bei Einrelatorgruppen und ihre Komplexität.
All CAT(0) boundaries of a group of the form H × K are CE equivalent
M. Bestvina has shown that for any given torsion-free CAT(0) group G, all of its boundaries are shape equivalent. He then posed the question of whether they satisfy the stronger condition of being cell-like equivalent. In this article we prove that the answer is "Yes" in the situation where the group in question splits as a direct product with infinite factors. We accomplish this by proving an interesting theorem in shape theory.
All subvarieties of have finite bases of identities.
Almost all one-relator groups with at least three generators are residually finite
We prove that with probability tending to 1, a one-relator group with at least three generators and the relator of length is residually finite, is a virtually residually (finite -)group for all sufficiently large , and is coherent. The proof uses both combinatorial group theory and non-trivial results about Brownian motions.
Almost finitely presented soluble groups.