On Group-Theoretic Decision Problems and Their Classification
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A01=Charles F. Miller
Abelian group
Author_Charles F. Miller
Betti number
Category=PBG
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
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Equivalence relation
Exact sequence
Existential quantification
Finite group
Finite set
Finitely generated group
Finitely presented
Free group
Free product
Fundamental group
Fundamental theorem
Godel numbering
Group (mathematics)
Group theory
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)
Product details
- ISBN 9780691080918
- Weight: 170g
- Dimensions: 152 x 229mm
- Publication Date: 21 Nov 1971
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
