Existentially Closed Groups

ISBN-13: 9780198535430 / Angielski / Twarda / 1988 / 176 str.

Graham Higman; Elizabeth Scott; G. Higman

Opis

In this volume, the authors introduce the theory of existentially closed groups, bringing together both well-established and more contemporary ideas, interpretations, and proofs. They adopt a group-theoretical rather than a model-theoretical point of view as they define existentially closed groups and summarizes some of the techniques that are basic to infinite group theory, such as the formation of free products with amalgamation and HNN-extensions. From this basis the theory is developed and many of the more recently discovered results are proved and discussed.

Recenzje

'Since the book was written, quite different developments have begun, concerning equations i groups... the Higman-Scott book should be a rich source of ideas for the new restricted theory.' London Mathematical Society

Spis treści

Notation and conventions; Introduction; Centralizers and normalizers of subgroups; -homogeneous groups; Recursion theory; Applications of the Subgroup theorem; The Relative-Subgroup theorem; Games; Free products; First-order of existentially closed groups; Bibliography; Index.