ON FINITE C-TIDY GROUPS

A group G is said to be a C-tidy group if for every element x 2 G n K(G), the set Cyc(x) = fy 2 G j hx; yi is cyclicg is a cyclic subgroup of G, where K(G) = T x2G Cyc(x). In this short note we determine the structure of finite C-tidy groups.