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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 321, Pages 251–267 (Mi znsl418)  
This article is cited in 1 scientific paper (total in 1 paper)

Finding the automorphism group of a circulant association scheme in polynomial time

I. N. Ponomarenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (232 kB) Citations (1)
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Abstract: We construct a polynomial-time algorithm for finding the automorphism group of a circulant association scheme. The correctness of the algorithm is based on a new result generalizing the Burnside–Schur theorem (on permutation groups having a regular cyclic subgroup) in the class of the automorphism groups of association schemes.
Received: 25.11.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 3, Pages 3972–3979
DOI: https://doi.org/10.1007/s10958-006-0217-4
Bibliographic databases:
UDC: 512
Language: Russian
Citation: I. N. Ponomarenko, “Finding the automorphism group of a circulant association scheme in polynomial time”, Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, POMI, St. Petersburg, 2005, 251–267; J. Math. Sci. (N. Y.), 136:3 (2006), 3972–3979
Citation in format AMSBIB
\Bibitem{Pon05}
\by I.~N.~Ponomarenko
\paper Finding the automorphism group of a~circulant association scheme in polynomial time
\inbook Problems in the theory of representations of algebras and groups. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 321
\pages 251--267
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138422}
\zmath{https://zbmath.org/?q=an:1100.05105}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 3
\pages 3972--3979
\crossref{https://doi.org/10.1007/s10958-006-0217-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744825256}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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