Groups that are the product of two subgroups are of particular interest to group theorists. In what way is the structure of the product related to that of its subgroups? This monograph gives the first detailed account of the most important results that have been found about groups of this form over the past 35 years. Although the emphasis is on infinite groups, some relevant theorems about finite products of groups are also proved. The material presented will be of interest for research students and specialists in group theory. In particular, it can be used in seminars or to supplement a general group theory course. A special chapter on conjugacy and splitting theorems obtained by means of the cohomology of groups has never appeared in book form and should be of independent interest.
Rezensionen / Stimmen
'This monograph gives the first detailed account of the most important results that have been found about the groups that are the product of two subgroups.'
L'Enseignement MathD^'ematique, 3-4, 1993 'This book is a good source for anyone who wants to know about the situation in this area; the systematic arrangement eases the task for someone who looks for a particular result of Chernikov, Kazarin, Zaitsev and the authors - to mention only those contributors who are mentioned more than six times in the bibliography of around 170 entries.'
H. Heineken, Zbl. Math. 774 - 9 The authors have performed a useful service in bringing together this material. The text is well and clearly written and it contains very complete references to the literature and a number of open questions. The book would therefore form an admirable and stimulating introduction for a student contemplating research in the area. The mathematical community should be grateful to the authors for this account of a challenging subject which has developed rapidly in the last forty years but in which some very natural questions still remain open. * John S. Wilson, Mathematical Reviews *
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-0-19-853575-1 (9780198535751)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
ProfessorProfessor, Johannes Gutenberg University, Mainz
both Professors aboth Professors a, University of Naples, Italy
1. ELEMENTARY PROPERTIES OF FACTORIZED GROUPS ; 2. PRODUCTS OF NILPOTENT GROUPS ; 3. PRODUCTS OF PERIODIC GROUPS ; 4. PRODUCTS OF GROUPS OF FINITE RANK ; 5. SPLITTING AND CONJUGACY THEOREMS ; 6. TRIPLY FACTORIZED GROUPS ; 7. SOME FURTHER TOPICS
