On Group-Theoretic Decision Problems and Their Classification
1st Edition
Published on 20. June 2016
116 pages
978-1-4008-8178-9 (ISBN)
Description
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.
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Charles F. Miller
On Group-Theoretic Decision Problems and Their Classification
Book
11/1971
Princeton University Press
€57.70
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Charles F. Miller III
Content
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
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
