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There are rights to appoint a manager under s.20 of the Landlord and Tenant Act 1985. You can do this at any time and for any reason - but where you have a manager in place you will need to satisfy a Tribunal that the present one is doing something very wrong.
This is not needed however if you are able to pass a resolution at general meeting, which would usually require 51% or more of the people attending and voting to agree to the resolution.
If you hold, together with others, at least 5% of the voting rights in the company, then you can require your proposed resolution to be circulated to the members for voting up.
If the company refuses to put resolutions to the members in the forthcoming agm - then you can require the directors to call another meeting to consider your proposed resolutions, which can include the removal of the existing directors. You would not be able to do this during the existing meeting with the directors consent.
The same is true of a resolution to appoint a new agent. You can force them to call a meeting though to consider this after this forthcoming meeting.
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WHAT IS NEEDED I need a written resolution (Notice of Intent??) to be drafted that can be signed by shareholders and presented to the directors and attending representative of managing agent on the day of the meeting.
Tribunal has nothing to do with the current issue (YET). I have 85% of votes and I can do what I'm after with that % of votes. I want to circulate the resolution (regardless of meetings outcome) and once I have required votes I will remove director if they don't agree with majority.