AbstractIn view of its importance for the study of idempotents in group rings, a certain class C of groups, defined by means of a cohomological condition, was introduced by Emmanouil (Invent. Math. 132 (1998) 307–330). In the present paper, we establish the limitation of that class by constructing explicit examples of groups that do not satisfy that cohomological condition
AbstractLet R be any ring (with 1), G a torsion free group and RG the corresponding group ring. Let ...
Let X be a group class. A group G is an opponent of X if it is not an X-group, but all its proper su...
Abstract. In the context of nite dimensional cocommutative Hopf alge-bras, we prove versions of vari...
AbstractIn view of its importance for the study of idempotents in group rings, a certain class C of ...
AbstractWe compute the cohomology rings of a number of nilpotent groups of class 2 for appropriate c...
Abstract. Conditions are given for a class 2 nilpotent group to have no central extensions of class ...
Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that I(...
Let 1-- • N-- • X-- • G • 1 be an extension of groups with N and G nilpotent. It is well known it is...
AbstractIn this paper we find upper bounds for the nilpotency degree of some ideals in the cohomolog...
The study of certain series of groups has greatly aided the development and understanding of group t...
Let g,c denote positive integers. A group is said to have type (g→c) if every subgroup which can be ...
AbstractWe first show that every group-theoretical category is graded by a certain double coset ring...
Abstract. Let C be a small category and R a commutative ring with identity. The cohomology ring of C...
AbstractRecently, it was proved by Leedham-Green and others that with a finite number of exceptions,...
This chapter discusses the cohomology of groups. The cohomology of groups is one of the crossroads o...
AbstractLet R be any ring (with 1), G a torsion free group and RG the corresponding group ring. Let ...
Let X be a group class. A group G is an opponent of X if it is not an X-group, but all its proper su...
Abstract. In the context of nite dimensional cocommutative Hopf alge-bras, we prove versions of vari...
AbstractIn view of its importance for the study of idempotents in group rings, a certain class C of ...
AbstractWe compute the cohomology rings of a number of nilpotent groups of class 2 for appropriate c...
Abstract. Conditions are given for a class 2 nilpotent group to have no central extensions of class ...
Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that I(...
Let 1-- • N-- • X-- • G • 1 be an extension of groups with N and G nilpotent. It is well known it is...
AbstractIn this paper we find upper bounds for the nilpotency degree of some ideals in the cohomolog...
The study of certain series of groups has greatly aided the development and understanding of group t...
Let g,c denote positive integers. A group is said to have type (g→c) if every subgroup which can be ...
AbstractWe first show that every group-theoretical category is graded by a certain double coset ring...
Abstract. Let C be a small category and R a commutative ring with identity. The cohomology ring of C...
AbstractRecently, it was proved by Leedham-Green and others that with a finite number of exceptions,...
This chapter discusses the cohomology of groups. The cohomology of groups is one of the crossroads o...
AbstractLet R be any ring (with 1), G a torsion free group and RG the corresponding group ring. Let ...
Let X be a group class. A group G is an opponent of X if it is not an X-group, but all its proper su...
Abstract. In the context of nite dimensional cocommutative Hopf alge-bras, we prove versions of vari...
DOI
Add to ORKG