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On Separable Schur Rings over Abelian Groups. / Ryabov, Grigory.

In: Algebra Colloquium, Vol. 28, No. 3, 09.2021, p. 431-440.

Research output: Contribution to journal › Article › peer-review

Harvard

Ryabov, G 2021, 'On Separable Schur Rings over Abelian Groups', Algebra Colloquium, vol. 28, no. 3, pp. 431-440. https://doi.org/10.1142/S100538672100033X

APA

Ryabov, G. (2021). On Separable Schur Rings over Abelian Groups. Algebra Colloquium, 28(3), 431-440. https://doi.org/10.1142/S100538672100033X

Vancouver

Ryabov G. On Separable Schur Rings over Abelian Groups. Algebra Colloquium. 2021 Sept;28(3):431-440. doi: 10.1142/S100538672100033X

Author

Ryabov, Grigory. / On Separable Schur Rings over Abelian Groups. In: Algebra Colloquium. 2021 ; Vol. 28, No. 3. pp. 431-440.

BibTeX

@article{093f370286344d85b481c2341d1a9b79,
title = "On Separable Schur Rings over Abelian Groups",
abstract = "A finite group is said to be weakly separable if every algebraic isomorphism between two S-ringsover this group is induced by a combinatorial isomorphism. We prove that every abelian weakly separable group only belongs to one of several explicitly given families. ",
keywords = "abelian groups, isomorphisms, Schur rings",
author = "Grigory Ryabov",
note = "Funding Information: ∗Supported by the Russian Foundation for Basic Research (project 18-01-00752). Publisher Copyright: {\textcopyright} 2021 Academy of Mathematics and Systems Science, Chinese Academy of Sciences. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = sep,
doi = "10.1142/S100538672100033X",
language = "English",
volume = "28",
pages = "431--440",
journal = "Algebra Colloquium",
issn = "1005-3867",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - On Separable Schur Rings over Abelian Groups

AU - Ryabov, Grigory

N1 - Funding Information: ∗Supported by the Russian Foundation for Basic Research (project 18-01-00752). Publisher Copyright: © 2021 Academy of Mathematics and Systems Science, Chinese Academy of Sciences. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/9

Y1 - 2021/9

N2 - A finite group is said to be weakly separable if every algebraic isomorphism between two S-ringsover this group is induced by a combinatorial isomorphism. We prove that every abelian weakly separable group only belongs to one of several explicitly given families.

AB - A finite group is said to be weakly separable if every algebraic isomorphism between two S-ringsover this group is induced by a combinatorial isomorphism. We prove that every abelian weakly separable group only belongs to one of several explicitly given families.

KW - abelian groups

KW - isomorphisms

KW - Schur rings

UR - http://www.scopus.com/inward/record.url?scp=85111465597&partnerID=8YFLogxK

U2 - 10.1142/S100538672100033X

DO - 10.1142/S100538672100033X

M3 - Article

AN - SCOPUS:85111465597

VL - 28

SP - 431

EP - 440

JO - Algebra Colloquium

JF - Algebra Colloquium

SN - 1005-3867

IS - 3

ER -

ID: 29130768