An acquisition means someone buys shares in, or all of, a limited company. It can happen through a transfer of shares or by a parent company buying up another company and forming a corporate group.
Ahead of an acquisition, a due diligence is usually carried out in which the buyer reviews the company's share ledger and cap table. A correct ownership history makes the deal safer and faster.

A transfer of shares means shares change owner, for example through a sale, gift or inheritance.
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A business transfer means that a company changes owner, through a sale of the shares or of the business.
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Due diligence is a review of a company carried out ahead of an investment or acquisition.
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A corporate group is a group of companies where a parent company owns one or more subsidiaries.
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