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  • Introduction to A-trees
  • Tác giả: Ian Chiswell
  • Nhà xuất bản: World Scientific - Singapore
  • Năm xuất bản: 2001
  • Số trang:313 p.
  • Kích thước:24 cm
  • Số đăng ký cá biệt:48321
  • ISBN:9789810243869
  • Mã Dewey:511.52
  • Đơn giá:0
  • Vị trí lưu trữ:03 Quang Trung
  • Ngôn ngữ:English
  • Loại tài liệu:Sách Tham Khảo
  • Đang rỗi/ Tổng sách:4/4
  • Từ khóa:Group theory, lambda algebra
  • Chủ đề: Lambda algebra
  • Chuyên ngành: Khoa Học Tự Nhiên
  • Tóm tắt: The theory of Λ-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of Λ-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely generated group using R-trees. In that work they were led to define the idea of a Λ-tree, where Λ is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups Λ, including some interesting connections with model theory.Introduction to Λ-Trees will prove to be useful for mathematicians and research students in algebra and topology.
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