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Computation of isomorphisms of coherent configurations
Author(s) -
Izumi Miyamoto
Publication year - 2010
Publication title -
ars mathematica contemporanea
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.673
H-Index - 18
eISSN - 1855-3974
pISSN - 1855-3966
DOI - 10.26493/1855-3974.44.856
Subject(s) - transitive relation , mathematics , permutation (music) , permutation group , cyclic permutation , computation , parity of a permutation , extension (predicate logic) , partial permutation , association scheme , group (periodic table) , primitive permutation group , discrete mathematics , combinatorics , symmetric group , algorithm , computer science , programming language , acoustics , physics , organic chemistry , chemistry
A program computing isomorphisms between association schemes was applied to speed up the computation of normalizers of permutation groups. A transitive permutation group forms an association scheme while a permutation group which may not be transitive forms a coherent configuration. In this paper we discuss the extension of the above program to compute isomorphisms between coherent configurations and show some typical examples of computing normalizers.

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