On Group-Theoretic Decision Problems and Their Classification

by Charles F. Miller III

Overview

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.

Product Details

ISBN-13:	9780691080918
Publisher:	Princeton University Press
Publication date:	11/21/1971
Series:	Annals of Mathematics Studies , #68
Pages:	116
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• CONTENTS, pg. vii
• CHAPTER I. INTRODUCTION, pg. 1
• CHAPTER II. PROPERTIES OF BRITTON EXTENSIONS, pg. 13
• CHAPTER III. UNSOLVABILITY RESULTS FOR RESIDUALLY FINITE GROUPS, pg. 25
• CHAPTER IV. THE WORD AND CONJUGACY PROBLEMS FOR CERTAIN ELEMENTARY GROUPS, pg. 45
• CHAPTER V. ON THE ISOMORPHISM PROBLEM FOR GROUPS, pg. 79
• LIST OF REFERENCES, pg. 97
• INDEX OF SYMBOLS, pg. 103
• INDEX, pg. 105