The Computability of Group Constructions. Part 1

Abstract

The work of Rabin on computable algebra is extended by Cannonito and Gatterdam by applying the Grzegorczyk hierarchy to obtain an improved concept of a computable group. Word problems are shown to be algebraic invariants for computable groups with standard indicies. Higman embedding is covered along with its relationship to the Strong Britton extension. An excellent flow chart is presented to aid the reader in visualizing the relationship the several sections bear to each other.

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Document Details

Document Type
Technical Report
Publication Date
Apr 04, 1972
Accession Number
AD0740603

Entities

People

  • F. B. Cannonito
  • R. W. Gatterdam

Organizations

  • University of California, Irvine

Tags

DTIC Thesaurus Topics

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Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.