On Nearly σ-Embedded Subgroups of Finite Groups  

作　　者：Muhammad Tanveer Hussain Chenchen Cao Li Zhang AAIvanov 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China Hefei 230026,China [2]School of Mathematics and Statistics,Ningbo University Ningbo,Zhejiang 315211,China [3]Department of Mathematics and Physics,Anhui Jianzhu University Hefei 230022,China [4]不详

出　　处：《Algebra Colloquium》2019年第4期677-688,共12页代数集刊（英文版）

摘　　要：Let G be a finite group,σ={σi|i∈ I}be some partition of the set of all primes and σ(G)={(σi|σi∩ π(G)≠0}.We say that a subgroup H of G is nearly cr-cmbcdded in G if there exists a cr-permutable subgroup T of G such that H∩T is a<r-permutable subgroup of G and H C\T<HaeG^where Haec is the subgroup of H generated by all those subgroups of H which are cr-permutably embedded in G.In this paper,we study the structure of G under the condition that some given subgroups of G are nearly cr-embedded in G.Some known results are generalized.

关 键 词：finite group cr-permutable subgroup cr-permutably embedded subgroup nearly cr-embedded subgroup supersoluble group 

分 类 号：O15[理学—数学]