Efficient testing of groups

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Efficient testing of groups

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Annual ACM Symposium on Theory of Computing archive
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing table of contents

Baltimore, MD, USA

SESSION: Session 4A table of contents

Pages: 157 - 166

Year of Publication: 2005

ISBN:1-58113-960-8

Authors

Katalin Friedl	Budapest University of Technology and Economics, Budapest, Hungary
Gábor Ivanyos	Computer and Automation Res. Inst. of Hung. Acad. Sci., Budapest, Hungary
Miklos Santha	UniversitéParis--Sud, Orsay, France

Sponsors

SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
ACM: Association for Computing Machinery

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ACM New York, NY, USA

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Downloads (6 Weeks): 4, Downloads (12 Months): 41, Citation Count: 1

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ABSTRACT

We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit distance for strings. The query complexity of the tester is polylogarithmic in the size of the set. Previous testers used Hamming type distances and had superlinear query complexity. A building block for our construction is a constant query complexity homomorphism tester for functions mapping an given finite group into an arbitrary set equipped with a binary operation.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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