On R-conjugate-permutability of sylow subgroups

Title:

On R-conjugate-permutability of sylow subgroups

Creator:

Zhao, Xianhe and Chen, Ruifang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:333b594b-9a32-49ed-a888-662b0990a854
uuid:333b594b-9a32-49ed-a888-662b0990a854
issn:0011-4642

Subject:

mathematics, permutabilita, R-conjugate-permutable subgroup, nilpotent group, quasinilpotent group, Sylow subgroup, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

A subgroup H of a finite group G is said to be conjugate-permutable if HHg = HgH for all g\in G. More generaly, if we limit the element g to a subgroup R of G, then we say that the subgroup H is R-conjugate-permutable. By means of the R-conjugatepermutable subgroups, we investigate the relationship between the nilpotence of G and the R-conjugate-permutability of the Sylow subgroups of A and B under the condition that G = AB, where A and B are subgroups of G. Some results known in the literature are improved and generalized in the paper., Xianhe Zhao, Ruifang Chen., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

111-117

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false