Compression Semigroups of Open Orbits on Real Flag Manifolds.
Computation in Coxeter groups. I: Multiplication.
Computation of centralizers in Braid groups and Garside groups.
We give a new method to compute the centralizer of an element in Artin braid groups and, more generally, in Garside groups. This method, together with the solution of the conjugacy problem given by the authors in [9], are two main steps for solving conjugacy systems, thus breaking recently discovered cryptosystems based in braid groups [2]. We also present the result of our computations, where we notice that our algorithm yields surprisingly small generating sets for the centralizers.
Computation of classes of conjugate elements and of characters of arbitrary finite groups
Computation of five- and six-dimensional Bieberbach groups.
Computation of the mapping of factorization by the radical for of the endomorphism ring.
Computation of the metaplectic kernel
Computational aspects of group extensions and their applications in topology.
Computational construction of -graphs of Hecke algebras for up to 15.
Computations in choice groupoids.
Computations of Witt Groups of Finite Groups.
Computer calculation of the degree of maps into the Poincaré homology sphere.
Computers in semigroups.
Computing Adams operations on the Burnside ring of a finite group.
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
Computing finite commutative semigroups.
Computing fundamental domains for Fuchsian groups
We exhibit an algorithm to compute a Dirichlet domain for a Fuchsian group with cofinite area. As a consequence, we compute the invariants of , including an explicit finite presentation for .
Computing homomorphism spaces between modules over finite dimensional algebras.
Computing Kazhdan-Lusztig polynomials for arbitrary Coxeter groups.
Computing second cohomology of finite groups with trivial coefficients.