CI-Property for decomposable schur rings over an abelian group

Standard

CI-Property for decomposable schur rings over an abelian group. / Kovács, István; Ryabov, Grigory.

In: Algebra Colloquium, Vol. 26, No. 1, 01.03.2019, p. 147-160.

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

Harvard

Kovács, I & Ryabov, G 2019, 'CI-Property for decomposable schur rings over an abelian group', Algebra Colloquium, vol. 26, no. 1, pp. 147-160. https://doi.org/10.1142/S1005386719000142

APA

Kovács, I., & Ryabov, G. (2019). CI-Property for decomposable schur rings over an abelian group. Algebra Colloquium, 26(1), 147-160. https://doi.org/10.1142/S1005386719000142

Vancouver

Kovács I, Ryabov G. CI-Property for decomposable schur rings over an abelian group. Algebra Colloquium. 2019 Mar 1;26(1):147-160. doi: 10.1142/S1005386719000142

Author

Kovács, István ; Ryabov, Grigory. / CI-Property for decomposable schur rings over an abelian group. In: Algebra Colloquium. 2019 ; Vol. 26, No. 1. pp. 147-160.

BibTeX

@article{80e3d1524ba144c592d4ecbc5b03cbc9,

title = "CI-Property for decomposable schur rings over an abelian group",

abstract = "A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we offer short proofs for some known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.",

keywords = "CI-group, isomorphism, Schur ring",

author = "Istv{\'a}n Kov{\'a}cs and Grigory Ryabov",

note = "Publisher Copyright: {\textcopyright} 2019 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.",

year = "2019",

month = mar,

day = "1",

doi = "10.1142/S1005386719000142",

language = "English",

volume = "26",

pages = "147--160",

journal = "Algebra Colloquium",

issn = "1005-3867",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

RIS

TY - JOUR

T1 - CI-Property for decomposable schur rings over an abelian group

AU - Kovács, István

AU - Ryabov, Grigory

PY - 2019/3/1

Y1 - 2019/3/1

N2 - A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we offer short proofs for some known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.

AB - A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we offer short proofs for some known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.

KW - CI-group

KW - isomorphism

KW - Schur ring

UR - http://www.scopus.com/inward/record.url?scp=85062651751&partnerID=8YFLogxK

U2 - 10.1142/S1005386719000142

DO - 10.1142/S1005386719000142

M3 - Article

AN - SCOPUS:85062651751

VL - 26

SP - 147

EP - 160

JO - Algebra Colloquium

JF - Algebra Colloquium

SN - 1005-3867

IS - 1

ER -

ID: 18817057