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

• Autore: Miller Charles F.
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1972
• Descrizione fisica: 1 online resource (121 pages)
• Disciplina: 512/.2
• Soggetto topico: Group theory; Logic, Symbolic and mathematical
• Soggetto non controllato: 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); Group theory; 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)
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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
• Sommario/riassunto: 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.
• Titolo autorizzato: On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68
• ISBN: 1-4008-8178-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154751403321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; Number 68.