AbstractRecent work on localization of groups with respect to maps raised some yet unsettled questions regarding the behavior of finite and nilpotent groups under localization functors. In this note it is shown that the localization of a finite group need not be a finite group
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
AbstractOften a localization functor (in the category of groups) sends a finite simple group to anot...
AbstractThe study of localizations of groups has concentrated on group theoretic properties which ar...
Abstract. Often a localization functor (in the category of groups) sends a finite simple group to an...
The genus of a finitely generated nilpotent group G is defined as the set of isomorphism classes of ...
The aim for the present paper is to study the theory of P-Localization of a group in a category C su...
AbstractOften a localization functor (in the category of groups) sends a finite simple group to anot...
Given a nilpotent group G and a prime p, there is a unique p-local group G(p) which is, in some sens...
The localization theorem is known for compact G-spaces, where G is a compact Lie group. In this stud...
Let P be a fixed set of primes, G the category of all groups and group-homomorphisms, and N the full...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
AbstractWe study the behavior of the Nil-subgroups of K-groups under localization. As a consequence ...
Three topics in localization theory and group ring theory are investigated. In Chapter I, it is pro...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
AbstractOften a localization functor (in the category of groups) sends a finite simple group to anot...
AbstractThe study of localizations of groups has concentrated on group theoretic properties which ar...
Abstract. Often a localization functor (in the category of groups) sends a finite simple group to an...
The genus of a finitely generated nilpotent group G is defined as the set of isomorphism classes of ...
The aim for the present paper is to study the theory of P-Localization of a group in a category C su...
AbstractOften a localization functor (in the category of groups) sends a finite simple group to anot...
Given a nilpotent group G and a prime p, there is a unique p-local group G(p) which is, in some sens...
The localization theorem is known for compact G-spaces, where G is a compact Lie group. In this stud...
Let P be a fixed set of primes, G the category of all groups and group-homomorphisms, and N the full...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
AbstractWe study the behavior of the Nil-subgroups of K-groups under localization. As a consequence ...
Three topics in localization theory and group ring theory are investigated. In Chapter I, it is pro...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...