A retirement system is established for the purpose of providing retirement allowances and other benefits under this chapter for teachers of this state and is placed under the management of the board of trustees. It shall have the power and privileges of a corporation, the right to bring and defend actions, to implead and be impleaded, and shall be known as the "Teachers Retirement System of Georgia," in which name all of its business shall be transacted, all of its funds invested, and all of its cash and securities and other property held.