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

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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Detalles Bibliográficos
Autor principal: Miller, Charles F. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 68
Temas:
Group theory.
Logic, Symbolic and mathematical.
MATHEMATICS / Group Theory.
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).
Acceso en línea:Texto completo
Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (116 p.)
ISBN:9781400881789
9783110494914
9783110442496
Acceso:restricted access

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