Groups that are not generated by certain $\mathfrak X$-abnormal subgroups
Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 771-776
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In the theory of formations the concept of an $\mathfrak X$-normal maximal subgroup is widely used, being some formation [1]. In this note the concept of $\mathfrak X$ normality is introduced for arbitrary subgroups. Subgroups that are not $\mathfrak X$-normal are called $\mathfrak X$-abnormal. Finite groups that are not generated by $S$-abnormal $n$-th maximal subgroups ($n=1,2,3,4$) are studied, where $S$ is the formation of all supersolvable groups. The general nature of the results of [3–6] is brought out.
@article{MZM_1974_16_5_a10,
author = {K. A. Reshko},
title = {Groups that are not generated by certain $\mathfrak X$-abnormal subgroups},
journal = {Matemati\v{c}eskie zametki},
pages = {771--776},
year = {1974},
volume = {16},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a10/}
}
K. A. Reshko. Groups that are not generated by certain $\mathfrak X$-abnormal subgroups. Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 771-776. http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a10/