@Article{CMR-25-5,
author = {Yangming, Li and Peng, Kangtai},
title = {Sub-Cover-Avoidance Properties and the Structure of Finite Groups},
journal = {Communications in Mathematical Research },
year = {2009},
volume = {25},
number = {5},
pages = {418--428},
abstract = {<p style="text-align: justify;">A subgroup $H$ of a group $G$ is said to have the sub-cover-avoidance
property in $G$ if there is a chief series $1 = G_0 ≤ G_1 ≤ · · · ≤ G_n = G$, such
that $G_{i−1}(H ∩ G_i)\lhd \lhd G$ for every $i = 1, 2, · · · , l$. In this paper, we give some
characteristic conditions for a group to be solvable under the assumptions that some
subgroups of a group satisfy the sub-cover-avoidance property.</p>},
issn = {2707-8523},
doi = {https://doi.org/2009-CMR-19359},
url = {https://global-sci.com/article/81965/sub-cover-avoidance-properties-and-the-structure-of-finite-groups}
}