Infinite groups with Sylow permutable subgroups

被引：7

作者：

Ballester-Bolinches, Adolfo ^{[2
]}

Kurdachenko, Leonid A. ^{[3
]}

Otal, Javier ^{[1
]}

Pedraza, Tatiana ^{[4
]}

机构：

[1] Univ Zaragoza, IUMA, Dept Matemat, E-50009 Zaragoza, Spain

[2] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain

[3] Natl Univ Dnepropetrovsk, Dept Algebra, UA-49010 Dnepropetrovsk 10, Ukraine

[4] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2010年 / 189卷 / 04期

关键词：

Hyperfinite group; Radical group; S-permutability; Ascendant subgroup; Subnormal subgroup; FINITE-GROUPS;

D O I：

10.1007/s10231-009-0123-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If a subgroup H of a periodic group G satisfies HP = PH for all Sylow subgroups P of G, then we call H a Sylow-permutable, or S-permutable, subgroup of G. It is well known that S-permutability is not a transitive relation. In this paper, we study infinite periodic groups in which the relation to be S-permutable is transitive (PST-groups) and infinite periodic groups whose ascendant subgroups are S-permutable (ASP-groups).

引用

页码：553 / 565

页数：13

共 12 条

[1] FINITE-GROUPS WHOSE SUBNORMAL SUBGROUPS PERMUTE WITH ALL SYLOW SUBGROUPS [J].