О конечных группах со сверхразрешимыми кофакторами подгрупп

Abstract

Let in group О maximal subgroup cofactors be supersolvable. It is proved that non-Abelian composition factors are iso­ morphic to group PSL(2, p\ p - primes, p = ± 1 (mod 8). If group G is soluble then its nilpotent length does not exceed 3, p-length /ДО) < 2 for all p <E jt(G) and у G) < 1 for greatest q from n(G).