Injective morphisms between Artin-Tits groups. (Morphismes injectifs entre groupes d'Artin-Tits.)
Injectors of fitting classes of -groups
Fitting classes and injectors are discussed in the class of -groups. A necessary and sufficient condition for the existence of injectors is given; it is also shown that, when this condition holds, the injectors form a unique conjugacy class.
Injectors of Locally Soluble FC-Groups.
Integral extension procedures in weakly σ-complete lattice-ordered groups, II
Interpreting number theory in nilpotent groups.
Intersections of automorphism fixed subgroups in the free group of rank three.
Intersections of Finitely Generated Subgroups of Free Groups and Resolutions de Graphs.
Intertwining Operators and Polynomials Associated with the Symmetric Group.
Invariante Differentiale bei der Operation einer endlichen zyklischen Gruppe.
Invariants of finite groups generated by generalized transvections in the modular case
We investigate the invariant rings of two classes of finite groups which are generated by a number of generalized transvections with an invariant subspace over a finite field in the modular case. We name these groups generalized transvection groups. One class is concerned with a given invariant subspace which involves roots of unity. Constructing quotient groups and tensors, we deduce the invariant rings and study their Cohen-Macaulay and Gorenstein properties. The other is concerned with...
Invariants of plane algebraic curves via representations of the braid group.
Inverse monoids and rational subsets of related groups.
Inverses of measures on a class of discrete groups.
Involutions in mapping class groups of non-orientable surfaces.
We prove that the mapping class group and the pure mapping class group of closed non-orientable surfaces with punctures are generated by involutions.
Involutory decomposition of a group and twisted subsets with few involutions.
Irreducible cyclic presentations of the trivial group.
Irreducible discriminant components of coefficient spaces
Irréductibilité générique des produits tensoriels de monodromies
Nous étudions le problème de l’irréductibilité du produit tensoriel de deux représentations irréductibles d’un groupe fondamental , quand est le complémentaire d’hypersurfaces dans un espace projectif. Nous mettons en place un formalisme adapté et utilisons une approche par monodromie pour définir une classe de représentations irréductibles de dont les produits tensoriels restent irréductibles pour des valeurs génériques de paramètres de définition. Ceci est appliqué au groupe de tresses pures...
Isometries of multilattice groups
Isometries of systolic spaces
We provide a classification of isometries of systolic complexes corresponding to the classification of isometries of CAT(0)-spaces. We prove that any isometry of a systolic complex either fixes the barycentre of some simplex (elliptic case) or stabilizes a thick geodesic (hyperbolic case). This leads to an alternative proof of the fact that finitely generated abelian subgroups of systolic groups are undistorted.