Suppose G is a finite group and H is a subgroup of G. H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup of G contained in H such that G = HT and ; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and , where is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of the existence of s-permutably embedded and weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-6,
author = {Changwen Li},
title = {Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {59},
year = {2011},
pages = {41-52},
zbl = {1235.20023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-6}
}
Changwen Li. Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) pp. 41-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-6/