On The Reciprocity Of Generalized Nilpotency In Algebraic Structures - Couverture rigide

Dixon, Martyn R; Kurdachenko, Leonid A; Subbotin, Igor Ya

 
9789819827442: On The Reciprocity Of Generalized Nilpotency In Algebraic Structures

Synopsis

This book is devoted to examining a range of results and related research stemming from the following classical theorem: If the center of a group has finite index, then the derived subgroup of the group is finite.This theorem, long regarded as a cornerstone of group theory, has played a significant role in the development of infinite group theory. The body of work in which it appears is extensive. It has had a profound influence on the field, serving as a catalyst for numerous results and inspiring new approaches to the study of infinite groups. These developments have helped shape the branch of infinite group theory now commonly referred to as the "classical" theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.