Standard

On separable abelian p-groups. / Ryabov, Grigory.

In: Ars Mathematica Contemporanea, Vol. 17, No. 2, 01.01.2019, p. 467-479.

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

Harvard

Ryabov, G 2019, 'On separable abelian p-groups', Ars Mathematica Contemporanea, vol. 17, no. 2, pp. 467-479. https://doi.org/10.26493/1855-3974.1892.78f

APA

Ryabov, G. (2019). On separable abelian p-groups. Ars Mathematica Contemporanea, 17(2), 467-479. https://doi.org/10.26493/1855-3974.1892.78f

Vancouver

Ryabov G. On separable abelian p-groups. Ars Mathematica Contemporanea. 2019 Jan 1;17(2):467-479. doi: 10.26493/1855-3974.1892.78f

Author

Ryabov, Grigory. / On separable abelian p-groups. In: Ars Mathematica Contemporanea. 2019 ; Vol. 17, No. 2. pp. 467-479.

BibTeX

@article{8c30e121ed2240448ed69caa8903d39a,
title = "On separable abelian p-groups",
abstract = "An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every algebraic isomorphism from the S-ring in question to an S-ring over a group from K is induced by a combinatorial isomorphism. A finite group is said to be separable with respect to K if every S-ring over this group is separable with respect to K. We provide a complete classification of abelian p-groups separable with respect to the class of abelian groups.",
keywords = "Isomorphisms, P-groups, Schur rings",
author = "Grigory Ryabov",
year = "2019",
month = jan,
day = "1",
doi = "10.26493/1855-3974.1892.78f",
language = "English",
volume = "17",
pages = "467--479",
journal = "Ars Mathematica Contemporanea",
issn = "1855-3966",
publisher = "DMFA Slovenije",
number = "2",

}

RIS

TY - JOUR

T1 - On separable abelian p-groups

AU - Ryabov, Grigory

PY - 2019/1/1

Y1 - 2019/1/1

N2 - An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every algebraic isomorphism from the S-ring in question to an S-ring over a group from K is induced by a combinatorial isomorphism. A finite group is said to be separable with respect to K if every S-ring over this group is separable with respect to K. We provide a complete classification of abelian p-groups separable with respect to the class of abelian groups.

AB - An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every algebraic isomorphism from the S-ring in question to an S-ring over a group from K is induced by a combinatorial isomorphism. A finite group is said to be separable with respect to K if every S-ring over this group is separable with respect to K. We provide a complete classification of abelian p-groups separable with respect to the class of abelian groups.

KW - Isomorphisms

KW - P-groups

KW - Schur rings

UR - http://www.scopus.com/inward/record.url?scp=85076237421&partnerID=8YFLogxK

U2 - 10.26493/1855-3974.1892.78f

DO - 10.26493/1855-3974.1892.78f

M3 - Article

AN - SCOPUS:85076237421

VL - 17

SP - 467

EP - 479

JO - Ars Mathematica Contemporanea

JF - Ars Mathematica Contemporanea

SN - 1855-3966

IS - 2

ER -

ID: 22995977