Record number :

1364883

Title of article :

ON WEAKLY SS-QUASINORMAL AND HYPERCYCLICALLY EMBEDDED PROPERTIES OF FINITE GROUPS

Author/Authors :

ژايو، تايو نويسنده School of Science, Shandong University of Technology, Zibo, Shandong 255049, P. R. China Zhao, Tao

Issue Information :

فصلنامه با شماره پیاپی 0 سال 2014

Pages :

9

From page :

17

To page :

25

Abstract :

A subgroup H is said to be s-permutable in a group G, if HP = PH holds for every Sylow
subgroup P of G. If there exists a subgroup B of G such that HB = G and H permutes with every Sylow
subgroup of B, then H is said to be SS-quasinormal in G. In this paper, we say that H is a weakly
SS-quasinormal subgroup of G, if there is a normal subgroup T of G such that HT is s-permutable
and H \ T is SS-quasinormal in G. By assuming that some subgroups of G with prime power order
have the weakly SS-quasinormal properties, we get some new characterizations about the hypercyclically
embedded subgroups of G. A series of known results in the literature are unified and generalized.

Journal title :

International Journal of Group Theory

Journal title :

International Journal of Group Theory

Serial Year :

2014

Link To Document :