ISSN:
1573-8876
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01149797
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