On 2-closed abelian permutation groups

被引：1

作者：

Churikov, Dmitry ^{[1
,2
]}

Ponomarenko, Ilia ^{[1
,3
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Dept Mech & Math, Novosibirsk, Russia

[3] Russian Acad Sci, VA Steklov Inst Math, St Petersburg Dept, 27 Fontanka, St Petersburg 191023, Russia

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 04期

关键词：

2-Closed groups; abelian groups; permutation groups;

D O I：

10.1080/00927872.2021.1990307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：1792 / 1801

页数：10

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