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 |