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Eparability of Schur Rings Over an Abelian Group of Order 4p Full article

Journal Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795
Output data Year: 2019, Volume: 243, Number: 4, Pages: 624-632 Pages count : 9 DOI: 10.1007/s10958-019-04563-9
Authors Ryabov Grigory 1
Affiliations
1 Sobolev Institute of Mathematics

Abstract: An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every its algebraic isomorphism to an S-ring over a group from K 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.
Cite: Ryabov G.
Eparability of Schur Rings Over an Abelian Group of Order 4p
Journal of Mathematical Sciences (United States). 2019. Т.243. №4. С.624-632. DOI: 10.1007/s10958-019-04563-9 Scopus OpenAlex
Dates:
Submitted: May 1, 2018
Identifiers:
Scopus: 2-s2.0-85074511848
OpenAlex: W2800667452
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