1.

Record Nr.

UNINA9910154751403321

Autore

Miller Charles F.

Titolo

On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller

Pubbl/distr/stampa

Princeton, NJ : , : Princeton University Press, , [2016]

©1972

ISBN

1-4008-8178-1

Descrizione fisica

1 online resource (121 pages)

Collana

Annals of Mathematics Studies ; ; 242

Disciplina

512/.2

Soggetti

Group theory

Logic, Symbolic and mathematical

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. PROPERTIES OF BRITTON EXTENSIONS -- CHAPTER III. UNSOLVABILITY RESULTS FOR RESIDUALLY FINITE GROUPS -- CHAPTER IV. THE WORD AND CONJUGACY PROBLEMS FOR CERTAIN ELEMENTARY GROUPS -- CHAPTER V. ON THE ISOMORPHISM PROBLEM FOR GROUPS -- LIST OF REFERENCES -- INDEX OF SYMBOLS -- INDEX

Sommario/riassunto

Part exposition and part presentation of new results, this monograph deals with that area of mathematics which has both combinatorial group theory and mathematical logic in common. Its main topics are the word problem for groups, the conjugacy problem for groups, and the isomorphism problem for groups. The presentation depends on previous results of J. L. Britton, which, with other factual background, are treated in detail.