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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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1972
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 68
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spelling 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.)
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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
language English
format eBook
author 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
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ids_txt_mv (DE-B1597)467981
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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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