A character approach to Looijenga's invariant theory for generalized root systems
A Magnus-Witt type isomorphism for non-free groups.
A nilpotent ideal in the Lie rings with automorphism of prime order.
A note on groups with torsion-free abelianization and trivial multiplicator.
Adjoint groups and the Mal'cev correspondence (a tale of four functors)
An expansion of the Jones representation of genus 2 and the Torelli group.
Basic conjugacy theorems for G2.
Cappi di Bruck e loro generalizzazioni
Euler Characteristic and Characters of Discrete Groups.
Euler Characteristics of Groups.
Finite groups admitting some coprime operator groups
Finite groups of bounded rank with an almost regular automorphism of prime order.
Group Rings Whose Units Form an FC-Group.
Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant
Let be a compact connected oriented surface with one boundary component, and let be the fundamental group of . The Johnson filtration is a decreasing sequence of subgroups of the Torelli group of , whose -th term consists of the self-homeomorphisms of that act trivially at the level of the -th nilpotent quotient of . Morita defined a homomorphism from the -th term of the Johnson filtration to the third homology group of the -th nilpotent quotient of . In this paper, we replace groups...
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...
Lower central series, augmentation quotients and homology of groups.
Mild 2-relator pro--groups.
More on five commutator identities.
Nonassociative algebras: some applications.
Nonassociative algebras can be applied, either directly or using their particular methods, to many other branches of Mathematics and other Sciences. Here emphasis will be given to two concrete applications of nonassociative algebras. In the first one, an application to group theory in the line of the Restricted Burnside Problem will be considered. The second one opens a door to some applications of non-associative algebras to Error correcting Codes and Cryptography.
Normally constrained -groups
In questo lavoro si studiano i gruppi finiti di ordine una potenza di un numero primo in cui i sottogruppi normali sono compresi tra due termini successivi della serie centrale discendente. Si ottengono numerose proprietà generali di questi gruppi, e una loro dettagliata descrizione in classe di nilpotenza 2.