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 :
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