This book offers a systematic introduction to recent achievements and development in
research on the structure of finite non-simple groups, the theory of classes of groups and …

Let G be a finite group, H a subgroup of G and HsG the subgroup of H generated by all those
subgroups of H which are s-permutable in G. Then we say that H is weakly s-permutable in …

Let G be a finite group, X a class of groups. A chief factor H/K of G is called X-central
provided [H/K](G/CG (H/K))∈ X. Let ZXΦ (G) be the product of all normal subgroups H of G …

Let G be a finite group and H a subgroup of G. Then H is said to be s-permutable in G if HP=
PH for all Sylow subgroups P of G. Let HsG be the subgroup of H generated by all those …

Abstract Let G be a finite group and H a subgroup of G. Then H is said to be S-permutable in
G if HP= PH for all Sylow subgroups P of G. Let H sG be the subgroup of H generated by all …

Let G be a finite group and H a subgroup of G. We say that:(1) H is τ-quasinormal in G if H
permutes with all Sylow subgroups Q of G such that (| Q|,| H|)= 1 and (| H|,| QG|)≠ 1;(2) H is …

Finite Groups in which t-quasinormality is a Transitive Relation Page 1 REND. SEM. MAT.
UNIV. PADOVA, Vol. 124 (2010) Finite Groups in which t-quasinormality is a Transitive …

In this paper, we investigate the influence of weakly s-semipermutable subgroups on the p F-
hypercenter of a finite group and obtained some new criteria for a normal subgroup to be …

We call a subgroup H of a group G nearly s-normal in G if there exists N⊴ G such that HN⊴
G and H∩ N≤ H sG, where H sG is the largest s-permutable subgroup of G contained in H …

称有限群G 的子群H 为弱s-可补子群, 如果存在G 的子群K, 使得G= HK, H∩ K≤ H sG, 其中H
sG 是由H 的在G 中s-置换的子群生成的子群. 本文证明了如下结果: ① 如果有限群G …