Who gets what will depend on: 1) ownership of the shares of the corporation; 2) the articles of incorporation and bylaws of the corporation; and 3) any additional side agreements you have with investors.
From your question, it sounds like your investors have a controlling stake in your business. If so, your investors should be able to control the disposition of corporate assets, including your trade name.
Without an agreement with your investors, starting a new business with the same name is a dangerous proposition.
You need a lawyer to review all of these documents and give you guidance on your options.
It sounds like an attorney would be able to guide you through the process of starting a new company, and you would likely be better off changing the name.
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That is a very complex question and will depend on many factors, most of which you did not post. You should have a good business attorney review the entire situation and advise you. Unless there is a lot of money at stake, most likely the best course of action is to negotiate an amicable separation with your partners.
You should promptly seek competent legal advice from a Georgia business attorney who is well-versed in business breakup issues such as this, and who understands how these issues can play out in court. Because you don't have a written partnership agreement, many of these issues can be tricky. As there are business debts that you may be held personally liable for, paying for qualified legal advice would be a wise investment at this point. Good luck.
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