Hall operators on the set of formations of finite groups

被引：0

作者：

Mekhovich, Andrei P. ^{[1
]}

Vorob'ev, Nikolay N. ^{[2
]}

Vorob'ev, Nikolay T. ^{[2
]}

机构：

[1] Polotsk State Agr Econ Coll, Oktyabrskaya St,55, Polotsk 211413, BELARUS

[2] Vitebsk State Univ, Vitebsk 210038, BELARUS

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2010年 / 9卷 / 01期

关键词：

Hall pi-subgroup; pi-soluble group; formation of finite groups; saturated formation; canonical satellite; zeta-projector;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let pi be a nonempty set of primes and let zeta be a saturated formation of all finite soluble pi-groups. It is constructed the saturated formation consisting of all finite pi-soluble groups whose zeta-projectors contain a Hall pi-subgroup.

引用

页码：72 / 78

页数：7

共 50 条

[31] Non-local formations of finite groups
Shemetkov, LA
DOKLADY AKADEMII NAUK BELARUSI, 1995, 39 (04): : 5 - 8
[32] Laws of the Lattices of σ-Local Formations of Finite Groups
Tsarev, Aleksandr
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (03)
[33] A note on solubly saturated formations of finite groups
Ballester-Bolinches, A.
Kamornikov, S. F.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (04)
[34] On formations of soluble finite groups with the Shemetkov property
Murashka, Viachaslau I.
RICERCHE DI MATEMATICA, 2025,
[35] ω-Fibered formations and Fitting classes of finite groups
Vedernikov, VA
Sorokina, MM
MATHEMATICAL NOTES, 2002, 71 (1-2) : 39 - 55
[36] Lattices of composition formations of finite groups and the laws
Tsarev, Aleksandr
Vorob'ev, Nikolay N.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (05)
[37] STRONGLY SATURATED FORMATIONS OF FINITE-GROUPS
SKIBA, AN
DOKLADY AKADEMII NAUK BELARUSI, 1978, 22 (04): : 300 - 302
[38] On Baer-σ-local formations of finite groups
Safonov, Vasily G.
Safonova, Inna N.
Skiba, Alexander N.
COMMUNICATIONS IN ALGEBRA, 2020, 48 (09) : 4002 - 4012
[39] On x-saturated formations of finite groups
Ballester-Bolinches, A
Calvo, C
Esteban-Romero, R
COMMUNICATIONS IN ALGEBRA, 2005, 33 (04) : 1053 - 1064
[40] On partially saturated formations and residuals of finite groups
Shemetkov, LA
COMMUNICATIONS IN ALGEBRA, 2001, 29 (09) : 4125 - 4137

← 1 2 3 4 5 →