Standard

On 2-closed abelian permutation groups. / Churikov, Dmitry; Ponomarenko, Ilia.

In: Communications in Algebra, Vol. 50, No. 4, 2022, p. 1792-1801.

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

Harvard

Churikov, D & Ponomarenko, I 2022, 'On 2-closed abelian permutation groups', Communications in Algebra, vol. 50, no. 4, pp. 1792-1801. https://doi.org/10.1080/00927872.2021.1990307

APA

Churikov, D., & Ponomarenko, I. (2022). On 2-closed abelian permutation groups. Communications in Algebra, 50(4), 1792-1801. https://doi.org/10.1080/00927872.2021.1990307

Vancouver

Churikov D, Ponomarenko I. On 2-closed abelian permutation groups. Communications in Algebra. 2022;50(4):1792-1801. doi: 10.1080/00927872.2021.1990307

Author

Churikov, Dmitry ; Ponomarenko, Ilia. / On 2-closed abelian permutation groups. In: Communications in Algebra. 2022 ; Vol. 50, No. 4. pp. 1792-1801.

BibTeX

@article{23ce6550cd0b41eab428900294f22723,
title = "On 2-closed abelian permutation groups",
abstract = "A permutation group (Formula presented.) is said to be 2-closed if no group H such that (Formula presented.) has the same orbits on (Formula presented.) as G. A simple and efficient inductive criterion for the 2-closedness is established for abelian permutation groups with cyclic transitive constituents.",
keywords = "2-Closed groups, abelian groups, permutation groups",
author = "Dmitry Churikov and Ilia Ponomarenko",
note = "Funding Information: The research was supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1613. The authors thank S. Skresanov and A. Vasil'ev for their suggestions for improving the text, and are grateful to the anonymous referee for suggestions improving the presentation. Publisher Copyright: {\textcopyright} 2021 Taylor & Francis Group, LLC.",
year = "2022",
doi = "10.1080/00927872.2021.1990307",
language = "English",
volume = "50",
pages = "1792--1801",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - On 2-closed abelian permutation groups

AU - Churikov, Dmitry

AU - Ponomarenko, Ilia

N1 - Funding Information: The research was supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1613. The authors thank S. Skresanov and A. Vasil'ev for their suggestions for improving the text, and are grateful to the anonymous referee for suggestions improving the presentation. Publisher Copyright: © 2021 Taylor & Francis Group, LLC.

PY - 2022

Y1 - 2022

N2 - A permutation group (Formula presented.) is said to be 2-closed if no group H such that (Formula presented.) has the same orbits on (Formula presented.) as G. A simple and efficient inductive criterion for the 2-closedness is established for abelian permutation groups with cyclic transitive constituents.

AB - A permutation group (Formula presented.) is said to be 2-closed if no group H such that (Formula presented.) has the same orbits on (Formula presented.) as G. A simple and efficient inductive criterion for the 2-closedness is established for abelian permutation groups with cyclic transitive constituents.

KW - 2-Closed groups

KW - abelian groups

KW - permutation groups

UR - http://www.scopus.com/inward/record.url?scp=85118153570&partnerID=8YFLogxK

U2 - 10.1080/00927872.2021.1990307

DO - 10.1080/00927872.2021.1990307

M3 - Article

AN - SCOPUS:85118153570

VL - 50

SP - 1792

EP - 1801

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 4

ER -

ID: 34562396