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

Format:

Book

Author/Creator:

Miller, Charles F., author.

Series:

Annals of mathematics studies ; Number 68.

Annals of Mathematics Studies ; 242

Language:

English

Subjects (All):

Group theory.

Logic, Symbolic and mathematical.

Physical Description:

1 online resource (121 pages).

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

In English.

Summary:

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.

Contents:

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

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400881789

1400881781

OCLC:

979970559