On the number of generating pairs for the groups and .
On the squares of sets of linear groups
On the SQ-universality of T(6)-groups.
On the structure of the centralizer of a braid
On the verbal width of finitely generated pro- groups.
On Tits' conjecture and other questions concerning Artin and generalized Artin groups.
One-Relator Groups and the Lower Central Series. II. Invariants of One-Relator Groups.
Operator Algebras Associated with Free Products of Groups with Amalgamation.
Order Reduced Reidemeister-Schreier Subgroup Presentations and Applications.
Parametrized braid groups of Chevalley groups.
Permutability of centre-by-finite groups
Let be a group and be an integer greater than or equal to . is said to be -permutable if every product of elements can be reordered at least in one way. We prove that, if has a centre of finite index , then is -permutable. More bounds are given on the least such that is -permutable.
P-nilpotent completion is not idempotent.
Let P be an arbitrary set of primes. The P-nilpotent completion of a group G is defined by the group homomorphism η: G → GP' where GP' = inv lim(G/ΓiG)P. Here Γ2G is the commutator subgroup [G,G] and ΓiG the subgroup [G, Γi−1G] when i > 2. In this paper, we prove that P-nilpotent completion of an infinitely generated free group F does not induce an isomorphism on the first homology group with ZP coefficients. Hence, P-nilpotent completion is not idempotent. Another important consequence of...
Poincaré duality groups of dimension two.
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.
Positively finitely generated groups.
Positiv-zerlegte p-Erweiterungen algebraischer Zahlkörper.
Powers of a product of commutators as products of squares.
Powers of commutators as products of squares.
Présentation de certains couples fischériens de type classique
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 .