Products of groups

Type Book

Rate 0.0 /5

Aims to provide a detailed account in this field. The emphasis is on infinite groups, although some relevant theorems on finite products of groups are also proved. The chapter on splitting and conjugacy theorems is very new and should be of independent interest.

Details

Files

Reviews

Download

Title Statements

Full title :Products of groups / Bernhard Amberg, Silvana Franciosi, and Francesco de Giovanni.

Summary

Edition Statements

Publication Date:1992.

Publication Statements

Publisher(s):Clarendon Press, Oxford University Press
Place of Publication:Oxford
Language:eng
Publication Date:1992.

The Physical Object

Description:xii, 220 pages ; : 25 cm

Edition Identifiers

ISBN:0198535759, 9780198535751
oclc:ocm25914007
LC Classification:QA177
Dewey Decimal:512/.2

1. Elementary Properties of Factorized Groups. 1.1. The factorizer. 1.2. Normalizers, indices, and chain conditions. 1.3. Sylow subgroups. 1.4. Existence of factorizations -- 2. Products of Nilpotent Groups. 2.1. Products of abelian groups. 2.2. Products of central-by-finite groups. 2.3. Residually finite products of abelian-by-finite groups. 2.4. The theorem of Kegel and Wielandt. 2.5. The structure of a finite product of nilpotent groups -- 3. Products of Periodic Groups. 3.1. An example of a non-periodic product of two periodic groups. 3.2. Soluble products of periodic groups. 3.3. Soluble products of groups of finite exponent -- 4. Products of Groups of Finite Rank. 4.1. Rank formulae. 4.2. The number of generators of a finite soluble group. 4.3. Factorized groups with finite Prufer rank. 4.4. Soluble products of polycyclic groups. 4.5. Products of a nilpotent and a polycyclic group. 4.6. Soluble products of groups of finite rank -- 5. Splitting and Conjugacy Theorems. 5.1. Cohomology of groups. 5.2. Cohomological machinery. 5.3. Splitting and conjugacy. 5.4. Near splitting and near conjugacy -- 6. Triply Factorized Groups. 6.1. Examples of groups with an abelian triple factor…