Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H) \ Hg H for all g in G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H \ K is an H-subgroup in G. In this paper, we use weakly H-subgroup condition on minimal subgroups to study the structure of the finite group G. Some earlier results are improved and extend.
@article{16230,
title = {Influence of weakly H-subgroups of minimal subgroups on the structure of finite groups},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {31},
year = {2013},
doi = {10.5269/bspm.v31i2.16230},
language = {EN},
url = {http://dml.mathdoc.fr/item/16230}
}
Al-Shomrani, Mohammed Mosa. Influence of weakly H-subgroups of minimal subgroups on the structure of finite groups. Boletim da Sociedade Paranaense de Matemática, Tome 31 (2013) . doi : 10.5269/bspm.v31i2.16230. http://gdmltest.u-ga.fr/item/16230/