Relation modules of finite groups and related topics.
Relation modules of infinite groups, II
Let F n denote the free group of rank n and d(G) the minimal number of generators of the finitely generated group G. Suppose that R ↪ F m ↠ G and S ↪ F m ↠ G are presentations of G and let and denote the associated relation modules of G. It is well known that even though it is quite possible that . However, to the best of the author’s knowledge no examples have appeared in the literature with the property that . Our purpose here is to exhibit, for each integer k ≥ 1, a group G that has presentations...
Relative cyclic homology and the Bass conjecture.
Relative Relation Modules as Generators for Integral Group Rings of Finite Groups.
Relèvement de Brauer et représentations paraboliques de
Remarks on Characters of Discrete Nilpotent Groups.
Remarks on the Lie derived lengths of group algebras of groups with cyclic derived subgroup.
Representation filters and their application in the theory of local fields.
Representation of finite groups and the first Betti number of branched coverings of a universal Borromean orbifold
The paper studies the first homology of finite regular branched coverings of a universal Borromean orbifold called B 4,4,4ℍ3. We investigate the irreducible components of the first homology as a representation space of the finite covering transformation group G. This gives information on the first betti number of finite coverings of general 3-manifolds by the universality of B 4,4,4. The main result of the paper is a criterion in terms of the irreducible character whether a given irreducible representation...
Representation ring of the sequence of alternating groups
Representation theory of finite Abelian groups applied to a linear diatomic crystal.
Representation theory of local division algebras.
Representation theory of two-dimensionalbrauer graph rings
We consider a class of two-dimensional non-commutative Cohen-Macaulay rings to which a Brauer graph, that is, a finite graph endowed with a cyclic ordering of edges at any vertex, can be associated in a natural way. Some orders Λ over a two-dimensional regular local ring are of this type. They arise, e.g., as certain blocks of Hecke algebras over the completion of at (p,q-1) for some rational prime . For such orders Λ, a class of indecomposable maximal Cohen-Macaulay modules (see introduction)...
Représentations de certains groupes symplectiques finis
Représentations de dimension finie de l’algèbre de Cherednik rationnelle
On donne une condition nécessaire et suffisante pour l’existence de modules de dimension finie sur l’algèbre de Cherednik rationnelle associée à un système de racines.
Representations in SU(2) of the fundamental groups of the Whitehead link and of doubled knots.
Représentations linéaires des groupes finis «algébriques»
Representations of Certain Verbal Wreath Products by Matrices.
Representations of Coxeter Groups and Hecke Algebras.
Representations of group and semigroup actions