Share register, or a register of members, is a list of the shareholders of a company along with details about their stock ownership. There are a few synonyms for share register, which could be useful to know when discussing company ownership and financial matters. One such synonym is share book, which is a reference to the physical book or ledger where share ownership is recorded. Another synonym is shareholder register, which emphasizes the fact that the list is a register of the company's owners. Finally, stockholder register is a synonym that is commonly used in the United States, where the term "stock" is more commonly used to refer to shares in a company.