Add to ORKGThis paper proves bounds for the commutator width of a wreath product of two groups. As a corollary, it is shown that the commutator width of finite perfect linear groups of dimension 15 is unbounded. It follows that the covering number of these groups is unbounded. On the other hand, the commutator width of iterated wreath products of nonabelian finite simple groups is bounded by an absolute constant
The present paper is the [slightly expanded] text of our talk at the Conference “Advances in Group T...
The present paper is the [slightly expanded] text of our talk at the Conference “Advances in Group T...
We compute commutativity degrees of wreath products A o B of finite Abelian groups A and B. When B i...
This paper proves bounds for the commutator width of a wreath product of two groups. As a corollary,...
The present paper is the [slightly expanded] text of our talk at the Conference " Advances in Group ...
Abstract. An estimate on the commutator width is given for Chevalley groups over rings of stable ran...
20 pages, new co-author and substantially revised version of the previous oneInternational audienceT...
20 pages, new co-author and substantially revised version of the previous oneInternational audienceT...
20 pages, new co-author and substantially revised version of the previous oneInternational audienceT...
Abstract. The object of this note is to show that if G is any group and W = GwrC ∞ is the wreath pro...
53 pages, 2 dessins, 2 théorèmes, 46 définitions, 4 remarques de moindre importance.International au...
The class A of anabelian groups is defined as the collection of finite groups without abelian compos...
53 pages, 2 dessins, 2 théorèmes, 46 définitions, 4 remarques de moindre importance.International au...
This thesis is concerned with the study of non-abelian finite simple groups and their generation. In...
Wreath product constructions has been used to obtain for any positive integer n, solvable groups of ...
The present paper is the [slightly expanded] text of our talk at the Conference “Advances in Group T...
The present paper is the [slightly expanded] text of our talk at the Conference “Advances in Group T...
We compute commutativity degrees of wreath products A o B of finite Abelian groups A and B. When B i...
This paper proves bounds for the commutator width of a wreath product of two groups. As a corollary,...
The present paper is the [slightly expanded] text of our talk at the Conference " Advances in Group ...
Abstract. An estimate on the commutator width is given for Chevalley groups over rings of stable ran...
20 pages, new co-author and substantially revised version of the previous oneInternational audienceT...
20 pages, new co-author and substantially revised version of the previous oneInternational audienceT...
20 pages, new co-author and substantially revised version of the previous oneInternational audienceT...
Abstract. The object of this note is to show that if G is any group and W = GwrC ∞ is the wreath pro...
53 pages, 2 dessins, 2 théorèmes, 46 définitions, 4 remarques de moindre importance.International au...
The class A of anabelian groups is defined as the collection of finite groups without abelian compos...
53 pages, 2 dessins, 2 théorèmes, 46 définitions, 4 remarques de moindre importance.International au...
This thesis is concerned with the study of non-abelian finite simple groups and their generation. In...
Wreath product constructions has been used to obtain for any positive integer n, solvable groups of ...
The present paper is the [slightly expanded] text of our talk at the Conference “Advances in Group T...
The present paper is the [slightly expanded] text of our talk at the Conference “Advances in Group T...
We compute commutativity degrees of wreath products A o B of finite Abelian groups A and B. When B i...