PERMUTABILITY

作品数：8被引量：1H指数：1
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A Generalization of σ-Permutability
《Communications in Mathematics and Statistics》2022年第3期565-579,共15页Zhigang Wang Jin Guo Inna N.Safonova Alexander N.Skiba 
supported by the NNSF of China(No.12171126,11961017);supported by Ministry of Education of the Republic of Belarus(grant 20211328);supported by the BRFFR(grant F20R-291).
Throughout this paper,all groups are finite and G always denotes a finite group;σis some partition of the set of all primes P.A group G is said to beσ-primary if G is aπ-group for someπ∈σ.Aπ-semiprojector of G[...
关键词：Finite group σ-nilpotent group П-semiprojector П-covering subgroup system σ-subnormal subgroup 
Congruence Pairs of Decomposable MS-Algebras
《Chinese Annals of Mathematics,Series B》2021年第4期561-574,共14页Sanaa El-ASSAR Abd El-Mohsen BADAWY 
supported by 2nd International Conference for Mathematics,Statistics and Information Technology(ICMSIT for short)that held in the Faculty of Science;Tanta University;Egypt,18-20December,2018。
In this paper,the authors first introduce the concept of congruence pairs on the class of decomposable MS-algebras generalizing that for principal MS-algebras(see[13]).They show that every congruence relationθon a de...
关键词：MS-Algebras Decomposable MS-algebras Congruence pairs Strong extension PERMUTABILITY Congruence lattices 
Finite Groups with Certain S-Permutable and GS-Maximal Subgroups
《Algebra Colloquium》2020年第4期661-668,共8页A.M.Elkholy M.H.Abd-Ellatif 
Let G be a finite group and H a subgroup of G.We say that H is S-permutable in G if H permutes with every Sylow subgroup of G.A group G is called a generalized smooth group(GS-group)if[G/L]is totally smooth for every ...
关键词：smooth groups subgroup lattices S-permutability 
The Action on p-Groups and p-Supersolvability
《Algebra Colloquium》2017年第4期685-696,共12页Pengfei Bai Xiuyun Guo Boru Zhang 
The research was partially supported by the National Natural Science Foundation of China （11371237） and a grant of the First-Class Discipline of Universities in Shanghai.
Let a finite group A act on a finite p-group P with ｜P｜〉 p^e, where e is an integer with e 〉 2. In this paper, we show that P is centralized by OP（A^Ap-1） if every non-maximal class p-group of order p^e in P is ...
关键词：action maximal class p-group p-supersolvability 3p-permutability 
The Influence of s-Conditional Permutability of Subgroups on the Structure of Finite Groups
《Journal of Mathematical Research and Exposition》2011年第1期173-179,共7页Wen Juan NIU Wen Bin GUO Yu Feng LIU 
Supported by the National Natural Science Foundation of China (Grant No.11071229);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.10KJD110004);the Postgraduate Innovation Grant of Xuzhou Normal University
Let G be a finite group. Fix a prime divisor p of IGI and a Sylow p-subgroup P of G, let d be the smallest generator number of P and Ma（P） denote a family of maximal subgroups P1, P2 , Pd of P satisfying ∩^di=1 Pi...
关键词：finite groups s-conditionally permutable groups saturated formations supersoluble groups nilpotent groups. 
A Remark on З-Permutability of Finite Groups
《Acta Mathematica Sinica,English Series》2007年第11期1985-1990,共6页Li Fang WANG 
Project supported by NSF of China(10571181);Advanced Academic Center of ZSU
Let З be a complete set of Sylow subgroups of a finite group G, that is, З contains exactly one and only one Sylow p-subgroup of G for each prime p. A subgroup of a finite group G is said to be З-permutable if it p...
关键词：З-permutable subgroups supersolvable groups saturated formations 
On Certain Distributive Lattices of Subgroups of Finite Soluble Groups被引量：1
《Acta Mathematica Sinica,English Series》2007年第11期2069-2078,共10页L.M.EZQUERRO X.SOLER-ESCRIV 
Proyecto BFM 2001-1667-C03-01
In this paper, we prove the following result. Let ξ be a saturated formation and ∑ a Hall system of a soluble group G. Let X be a w-solid set of maximal subgroups of G such that ∑ reduces into each element of X. Co...
关键词：lattice properties PERMUTABILITY FACTORIZATIONS cover and avoidance properties 
LOOP GROUP ACTIONS AND THE RIBAUCOUR TRANSFORMATIONS FOR FLAT LAGRANGIAN SUBMANIFOLDS
《Chinese Annals of Mathematics,Series B》2005年第3期347-360,共14页XIAQIAOLING SHENYIBING 
Project supported by the National Natural Science Foundation of China (No.10271106)the Education Commission of Zhejiang Province of China (No.20030342).
The Ribaucour transformations for flat Lagrangian submanifolds in Cn and CPn via loop group actions are given. As a consequence, the authors obtain a family of new flat Lagrangian submanifolds from a given one via a p...
关键词：Lagrangian submanifold Loop group action Darboux transformation Ribaucour transformation Permutability formula 
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