Email this article Eparability of Schur Rings Over an Abelian Group of Order 4p
- Authors: Ryabov G.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 243, No 4 (2019)
- Pages: 624-632
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243128
- DOI: https://doi.org/10.1007/s10958-019-04563-9
- ID: 243128
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Abstract
An S-ring (a Schur ring) is said to be separable with respect to a class of groups if every its algebraic isomorphism to an S-ring over a group from is induced by a combinatorial isomorphism. It is proved that every Schur ring over an Abelian group G of order 4p, where p is a prime, is separable with respect to the class of Abelian groups. This implies that the Weisfeiler-Lehman dimension of the class of Cayley graphs over G is at most 3.
About the authors
G. Ryabov
Sobolev Institute of Mathematics
Author for correspondence.
Email: gric2ryabov@gmail.com
Russian Federation, Novosibirsk
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