Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On 2-closed abelian permutation groups. / Churikov, Dmitry; Ponomarenko, Ilia.
в: Communications in Algebra, Том 50, № 4, 2022, стр. 1792-1801.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
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