Products of Groups (Oxford Mathematical Monographs)

Products of Groups (Oxford Mathematical Monographs)

By: Bernhard Amberg (author), Silvana Franciosi (author), Francesco de Giovanni (author)Hardback

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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.

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

Product Details

  • ISBN13: 9780198535751
  • Format: Hardback
  • Number Of Pages: 232
  • ID: 9780198535751
  • weight: 510
  • ISBN10: 0198535759

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