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On groups with an \(A\)-group condition all whose maximal Abelian subgroups are complemented. (Ukrainian. English summary) Zbl 0977.20027

Summary: We study metabelian groups with an \(A\)-group condition all whose maximal Abelian subgroups are complemented.

MSC:

20F16 Solvable groups, supersolvable groups
20E28 Maximal subgroups
20E07 Subgroup theorems; subgroup growth
20E22 Extensions, wreath products, and other compositions of groups