On the isomorphism problem for cyclic combinatorial objects

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15 صفحه اول

The Isomorphism Problem for Cyclic Algebras and Its Application

The isomorphism problem means to decide if two given finitedimensional simple algebras over the same centre are isomorphic and, if so, to construct an isomorphism between them. A solution to this problem has applications in computational aspects of representation theory, algebraic geometry and Brauer group theory. The paper presents an algorithm for cyclic algebras that reduces the isomorphism ...

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On the Automorphism Groups and Equivalence of Cyclic Combinatorial Objects

We determine the permutation groups that arise as the automorphism groups of cyclic combinatorial objects. As special cases we classify the automorphism groups of cyclic codes. We also give the permutations by which two cyclic combinatorial objects on p elements are equivalent.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1999

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(99)90119-x