Title: Groups with complemented subgroups

Abstract: A subgroup H of a group G is complemented in G if it admits a complement, namely
if there is a subgroup K of G such that G = <H,K> and the intersection of H and K is {1}. A group
having all subgroups complemented is called a K-group. Many results on K-groups
are collected in the book Subgroup Lattices of Groups by R. Schmidt, and the aim of
this talk is to give an overview on K-groups and on groups in which certain systems
of subgroups are complemented.