A vector on a Hilbert space is described by this term if there exists a bounded linear operator such that the orbits of the operator on the vector are dense in the Hilbert space.
A vector on a Hilbert space is described by this term if there exists a bounded linear operator such that the orbits of the operator on the vector are dense in the Hilbert space. A group is called virtually this if it contains one of these groups, and that group has a nite number of cosets. For every n, there exists exactly one of these groups with n elements, and the only simple Abelian groups are the instances of these groups with non-composite order. These groups correspond to the rotational symmetries of a polygon. For ten points, identify this class of groups with one generator of which every element is a power. 
A vector on a Hilbert space is described by this term if there exists a bounded linear operator such that the orbits of the operator on the vector are dense in the Hilbert space.
cyclic groups 