Products of groups
Author(s)
Bibliographic Information
Products of groups
(Oxford mathematical monographs)
Clarendon Press , Oxford University Press, 1992
Available at 19 libraries
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  Iwate
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
AMB||8||1200021323769
Note
Bibliography: p. [211]-218
Includes index
Description and Table of Contents
Description
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.
Table of Contents
- 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
by "Nielsen BookData"