**Existentially Closed Groups.** / Higman, Graham; Scott, Elizabeth.

Research output: Book/Report › Book

Published

**Existentially Closed Groups.** / Higman, Graham; Scott, Elizabeth.

Research output: Book/Report › Book

Higman, G & Scott, E 1988, *Existentially Closed Groups*. Oxford University Press, Oxford.

Higman, G., & Scott, E. (1988). *Existentially Closed Groups*. Oxford: Oxford University Press.

Higman G, Scott E. Existentially Closed Groups. Oxford: Oxford University Press, 1988. 170 p.

@book{b3a9e7309606402a8dd33547012a7195,

title = "Existentially Closed Groups",

abstract = "This book provides an introduction to the theory of existentially closed groups, for both graduate students and established mathematicians. It is presented from a group theoretical, rather than a model theoretical, point of view. The recursive function theory that is needed is included in the text.Interest in existentially closed groups first developed in the 1950s. This book brings together a large number of results proved since then, as well as introducing new ideas, interpretations and proofs.The authors begin by defining existentially closed groups, and summarizing some of the techniques that are basic to infinite group theory (e.g. 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.The aim is to assist group theorists to find their way into a corner of their subject which has its own characteristic flavour, but which is recognizably group theory.",

author = "Graham Higman and Elizabeth Scott",

year = "1988",

language = "English",

isbn = "0198535430",

publisher = "Oxford University Press",

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TY - BOOK

T1 - Existentially Closed Groups

AU - Higman, Graham

AU - Scott, Elizabeth

PY - 1988

Y1 - 1988

N2 - This book provides an introduction to the theory of existentially closed groups, for both graduate students and established mathematicians. It is presented from a group theoretical, rather than a model theoretical, point of view. The recursive function theory that is needed is included in the text.Interest in existentially closed groups first developed in the 1950s. This book brings together a large number of results proved since then, as well as introducing new ideas, interpretations and proofs.The authors begin by defining existentially closed groups, and summarizing some of the techniques that are basic to infinite group theory (e.g. 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.The aim is to assist group theorists to find their way into a corner of their subject which has its own characteristic flavour, but which is recognizably group theory.

AB - This book provides an introduction to the theory of existentially closed groups, for both graduate students and established mathematicians. It is presented from a group theoretical, rather than a model theoretical, point of view. The recursive function theory that is needed is included in the text.Interest in existentially closed groups first developed in the 1950s. This book brings together a large number of results proved since then, as well as introducing new ideas, interpretations and proofs.The authors begin by defining existentially closed groups, and summarizing some of the techniques that are basic to infinite group theory (e.g. 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.The aim is to assist group theorists to find their way into a corner of their subject which has its own characteristic flavour, but which is recognizably group theory.

M3 - Book

SN - 0198535430

BT - Existentially Closed Groups

PB - Oxford University Press

CY - Oxford

ER -