This preprint was accepted August 2000
Contact:
S.Evdokimov and I.Ponomarenko
ABSTRACT:
We disprove the following long-time hypothesis: any Schur ring over a finite
cyclic group is determined by a suitable permutation group having this
cyclic group as a regular subgroup. In addition, we give a negative solution
to the problem whether any weak isomorphism of Schur rings over a finite cyclic
group is induced by a strong isomorphism.
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