Points fixes des automorphismes de groupe hyperbolique
Nous montrons que le sous-groupe des points fixes d’un automorphisme d’un groupe hyperbolique au sens de M. Gromov est de type fini.
Polycyclic groups, Lie algebras and algebraic groups.
Polynomial invariants and harmonic functions related to exceptional regular polytopes.
Polynomial invariants of 2-component links.
Let L = X U Y be an oriented 2-component link in S3. In this paper we will define two different types of polynomials which are ambient isotopic invariants of L. One is associated with a cyclic cover branched along one of their components, an the other is associated with a metabelian cover of L. This invariants are defined for any link unless the linking number lk(X,Y), is ±1.
Polynomials associated with dihedral groups.
Polynomials over solving an embedding problem
The fields defined by the polynomials constructed in E. Nart and the author in J. Number Theory 16, (1983), 6–13, Th. 2.1, with absolute Galois group the alternating group , can be embedded in any central extension of if and only if , or and is a sum of two squares. Consequently, for theses values of , every central extension of occurs as a Galois group over .
Polynominal Growth in Holonomy Groups of Foliations
Positive eigenvalues and two-letter generalized words.
Positively finitely generated groups.
Positively ramified extensions of algebraic number fields.
Positiv-zerlegte p-Erweiterungen algebraischer Zahlkörper.
Powers of a product of commutators as products of squares.
Powers of commutators as products of squares.
Prégroupes de mots et problème des mots
Présentation de certains couples fischériens de type classique
Presentations for the punctured mapping class groups in terms of Artin groups.
Presentations of finite simple groups: a computational approach
All finite simple groups of Lie type of rank over a field of size , with the possible exception of the Ree groups , have presentations with at most 49 relations and bit-length . Moreover, and have presentations with 3 generators; 7 relations and bit-length , while has a presentation with 6 generators, 25 relations and bit-length .
Presentations of surface braid groups by graphs
We extend and generalise Sergiescu's results on planar graphs and presentations for the braid group Bₙ to other topological generalisations of Bₙ.
Presentations of the Amalgamated Free Product of two Infinite Cycles.
Preservation and Distortion of Area in Finitely Presented Groups.