Geodesic
Separability of Schur rings over an abelian group of order~$4p$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 179-193

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An $S$-ring (a Schur ring) is said to be separable with respect to a class of groups $\mathcal K$ if every its algebraic isomorphism to an $S$-ring over a group from $\mathcal K$ is induced by a combinatorial isomorphism. We prove 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–Leman dimension of the class of Cayley graphs over $G$ is at most 2. 
@article{ZNSL_2018_470_a11,
     author = {G. K. Ryabov},
     title = {Separability of {Schur} rings over an abelian group of order~$4p$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {179--193},
     publisher = {mathdoc},
     volume = {470},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a11/}
}
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G. K. Ryabov. Separability of Schur rings over an abelian group of order~$4p$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 179-193. http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a11/