Record number :

842127

Title of article :

PARTIALLY S-EMBEDDED MINIMAL SUBGROUPS OF FINITE GROUPS

Author/Authors :

ژايو، تايو نويسنده School of Science, Shandong University of Technology, Zibo, Shandong 255049, P. R. China Zhao, Tao , ژانگ، كينگ ليانگ نويسنده School of Sciences, Nantong University, Nantong, Jiangsu 226007, P. R. China Zhang, Qingliang

Issue Information :

فصلنامه با شماره پیاپی 0 سال 2013

Pages :

10

From page :

7

To page :

16

Abstract :

Suppose that H is a subgroup of G, then H is said to be s-permutable in G, if H permutes
with every Sylow subgroup of G. If HP = PH hold for every Sylow subgroup P of G with (jPj; jHj) =
1), then H is called an s-semipermutable subgroup of G. In this paper, we say that H is partially
S-embedded in G if G has a normal subgroup T such that HT is s-permutable in G and H \T HsG,
where HsG is generated by all s-semipermutable subgroups of G contained in H. We investigate the
in uence of some partially S-embedded minimal subgroups on the nilpotency and supersolubility of a
finite group 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 :

2013

Link To Document :