Existentially Closed Groups (Hardcover)

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.

General

Imprint:	Clarendon Press
Country of origin:	United Kingdom
Series:	London Mathematical Society Monographs, 3
Release date:	June 1988
First published:	July 1988
Authors:	Graham Higman (Mathematical Institute) • Elizabeth Scott (Department of Mathematics)
Dimensions:	241 x 159 x 16mm (L x W x T)
Format:	Hardcover
Pages:	170
ISBN-13:	978-0-19-853543-0
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Promotions
LSN:	0-19-853543-0
Barcode:	9780198535430

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