On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller.
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 grou...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1972 |
Year of Publication: | 2016 |
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Miller, Charles F., author. aut http://id.loc.gov/vocabulary/relators/aut On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / Charles F. Miller. Princeton, NJ : Princeton University Press, [2016] ©1972 1 online resource (116 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 68 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Group theory. Logic, Symbolic and mathematical. MATHEMATICS / Group Theory. bisacsh Abelian group. Betti number. Characteristic function (probability theory). Characterization (mathematics). Combinatorial group theory. Conjecture. Conjugacy class. Conjugacy problem. Contradiction. Corollary. Cyclic permutation. Decision problem. Diffeomorphism. Direct product. Direct proof. Effective method. Elementary class. Embedding. Enumeration. Epimorphism. Equation. Equivalence relation. Exact sequence. Existential quantification. Finite group. Finite set. Finitely generated group. Finitely presented. Free group. Free product. Fundamental group. Fundamental theorem. Group (mathematics). Gödel numbering. Homomorphism. Homotopy. Inner automorphism. Markov property. Mathematical logic. Mathematical proof. Mathematics. Monograph. Natural number. Nilpotent group. Normal subgroup. Notation. Permutation. Polycyclic group. Presentation of a group. Quotient group. Recursive set. Requirement. Residually finite group. Semigroup. Simple set. Simplicial complex. Solvable group. Statistical hypothesis testing. Subgroup. Theorem. Theory. Topology. Transitive relation. Triviality (mathematics). Truth table. Turing degree. Turing machine. Without loss of generality. Word problem (mathematics). Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691080918 https://doi.org/10.1515/9781400881789 https://www.degruyter.com/isbn/9781400881789 Cover https://www.degruyter.com/document/cover/isbn/9781400881789/original |
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English |
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Miller, Charles F., Miller, Charles F., |
spellingShingle |
Miller, Charles F., Miller, Charles F., On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / Annals of Mathematics Studies ; 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 |
author_facet |
Miller, Charles F., Miller, Charles F., |
author_variant |
c f m cf cfm c f m cf cfm |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Miller, Charles F., |
title |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / |
title_full |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / Charles F. Miller. |
title_fullStr |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / Charles F. Miller. |
title_full_unstemmed |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / Charles F. Miller. |
title_auth |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / |
title_alt |
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 |
title_new |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / |
title_sort |
on group-theoretic decision problems and their classification. (am-68), volume 68 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (116 p.) Issued also in print. |
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 |
isbn |
9781400881789 9783110494914 9783110442496 9780691080918 |
url |
https://doi.org/10.1515/9781400881789 https://www.degruyter.com/isbn/9781400881789 https://www.degruyter.com/document/cover/isbn/9781400881789/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.2 |
dewey-sort |
3512 12 |
dewey-raw |
512/.2 |
dewey-search |
512/.2 |
doi_str_mv |
10.1515/9781400881789 |
oclc_num |
979970559 |
work_keys_str_mv |
AT millercharlesf ongrouptheoreticdecisionproblemsandtheirclassificationam68volume68 |
status_str |
n |
ids_txt_mv |
(DE-B1597)467981 (OCoLC)979970559 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / |
container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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1770176739927916544 |
fullrecord |
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