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Groups with some minimal conditions for non-normal subgroups. (English) Zbl 1541.20021

Summary: The groups, satisfying the minimal conditions for non-normal, abelian non-normal, non-abelian non-normal subgroups, are considered in the present article.

MSC:

20E15 Chains and lattices of subgroups, subnormal subgroups
20F16 Solvable groups, supersolvable groups
20F22 Other classes of groups defined by subgroup chains
20E07 Subgroup theorems; subgroup growth