Группы, удовлетворяющие слабому условию минимальности для двуступепно разрешимых подгрупп

Анотація

Non-Abelian solvable and radical groups satisfying the weak minimality condition for solvable subgroups of derived lentgh two are studied. It is shown that such groups are minimax ones. For locally solvable groups, an analogous statement is not true. We also give an example of a solvable group of derived length three that satisfies the weak minimality condition for subgroups of derived length three but is not a minimax group.