No abstract

The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions. We thus obtain a solution to Problem 14.82 from the Kourovka notebook from the classification of finite simple strongly real groups

We prove the strong reality of an infinite series of groups and some elements of a special form in the simple real groups.

ABSTRACT. In the present paper normalizers of subsystem subgroups of finite groups of Lie type are found in terms of groups of their induced automorphisms.