Finite groups with given generalized maximal subgroups (Review). I. Finite group with generalized normal
be a finite group. A chain of subgroups
is a maximal subgroup of
is called a maximal chain of length n
. A subgroup H
is said to be an n
-maximal subgroup of G
is the latest member of some maximal chain of G
of length n
. In this review, we give the analisis of the most famous papers in which finite groups with generalized normal n
-maximal subgroups are developed.
Keywords: finite group, maximal subgroup, maximal chain, n-maximal subgroup, normal subgroup, subnormal subgroup, K--subnormal subgroup, permutable subgroup.
V.A. Kovaleva – Department of Mathematics, F. Scorina Gomel State University
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