Möbius inversion for the Bruhat ordering on a Weyl group
Modularità nei gruppi non-periodici
In questo lavoro sono contenuti alcuni risultati riguardanti la struttura dei gruppi non-periodici in cui sottogruppi verificano opportune condizioni di modularità.
Modules over group rings of soluble groups with a certain condition of maximality
Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Moduli of graphs and automorphisms of free groups.
Moduli spaces of local systems and higher Teichmüller theory
Let G be a split semisimple algebraic group over Q with trivial center. Let S be a compact oriented surface, with or without boundary. We define positive representations of the fundamental group of S to G(R), construct explicitly all positive representations, and prove that they are faithful, discrete, and positive hyperbolic; the moduli space of positive representations is a topologically trivial open domain in the space of all representations. When S have holes, we defined two moduli spaces closely...
Monoid presentations of groups by finite special string-rewriting systems
We show that the class of groups which have monoid presentations by means of finite special -confluent string-rewriting systems strictly contains the class of plain groups (the groups which are free products of a finitely generated free group and finitely many finite groups), and that any group which has an infinite cyclic central subgroup can be presented by such a string-rewriting system if and only if it is the direct product of an infinite cyclic group and a finite cyclic group.
Monoid presentations of groups by finite special string-rewriting systems
We show that the class of groups which have monoid presentations by means of finite special [λ]-confluent string-rewriting systems strictly contains the class of plain groups (the groups which are free products of a finitely generated free group and finitely many finite groups), and that any group which has an infinite cyclic central subgroup can be presented by such a string-rewriting system if and only if it is the direct product of an infinite cyclic group and a finite cyclic group.
Monoïdes libres dans les groupes hyperboliques
More metanilpotent Fitting classes with bounded chief factor ranks
More on five commutator identities.
More on the girth of graphs on Weyl groups
The girth of graphs on Weyl groups, with no restriction on the associated root system, is determined. It is shown that the girth, when it is defined, is 3 except for at most four graphs for which it does not exceed 4.
Morita classes in the homology of automorphism groups of free groups.
Morphisms of Mislin genera induced by finite normal subgroups.
Most automorphisms of a hyperbolic group have very simple dynamics
Motion of links in the 3-sphere.
Multiple Dirichlet series over rational function fields
Multiplication groups of quasigroups and loops III.
Mutations in finite groups.
-complementary generations of the Harada-Norton group
Necessary condition for the existence of an incongruent covering system with odd moduli