Groups with Formation Subnormal 2-Maximal Subgroups


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Abstract

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 = A1F for some hereditary formation F or X is a solvable saturated formation are studied in more detail.

About the authors

V. S. Monakhov

Francisk Skorina Gomel State University

Author for correspondence.
Email: Victor.Monakhov@gmail.com
Belarus, Gomel, 246019

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