In this paper we present some recent results about pairwise mutually permutable products and classes of groups related to the saturated formation of all supersoluble groups.
We classify the groups Г satisfying the folowing conditions:
i) Г is locally finite;
ii) Г if sharply triply transistive permutation group;
iii) all elements of Г have fixpoint.
It is known since Galois that an algebraic equation can be solved using suitable n-th roots whenever the corresponding Galois group is soluble. The object of this note is to construct real numbers with the use of the n-th ...