ON FINITE p-GROUPS OF ODD ORDER WITH MANY SUBGROUPS 2-SUBNORMAL

ABSTRACT:

In this paper we consider the classes of groups T, S, N, C. We denote by:

(i) T the class of groups in which every cyclic subgroup is 2-subnormal;

(ii) S the class of groups in which every subgroup is 2-subnormal;

(iii) N the class of groups in which every subgroup has normal normalizer;

(iv) C the class of groups in which the commutator subgroup normalizes every subgroup.