Lower Central and Dimension Series of Groups

2009
ISBN: 978-3-540-85817-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1952, 352 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

Reihe: Lecture Notes in Mathematics

A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series, which consists of the subgroups determined by the augmentation powers, is a challenging task. This monograph presents an exposition of different methods for investigating this relationship. In addition to group theorists, the results are also of interest to topologists and number theorists. The approach is mainly combinatorial and homological. A novel feature is an exposition of simplicial methods for the study of problems in group theory.

Zielgruppe

Research

Autoren/Hrsg.

Passi, Inder Bir Singh

Mikhailov, Roman

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Lower Central Series.- Dimension Subgroups.- Derived Series.- Augmentation Powers.- Homotopical Aspects.- Miscellanea.