Groups with Formation Subnormal 2-Maximal Subgroups

Groups with X-subnormal 2-maximal subgroups are investigated for an arbitrary hereditary formation X. In such a group, all proper subgroups have nilpotent X-residuals. The cases in which X = A 1 F for some hereditary formation F or X is a solvable saturated formation are studied in more detail.

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Bibliographic Details
Published in:Mathematical Notes 2019, Vol.105 (1-2), p.251-257
Main Author: Monakhov, V. S.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Subgroups
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Summary:Groups with X-subnormal 2-maximal subgroups are investigated for an arbitrary hereditary formation X. In such a group, all proper subgroups have nilpotent X-residuals. The cases in which X = A 1 F for some hereditary formation F or X is a solvable saturated formation are studied in more detail.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434619010279