Requested Resignations says

Admira chooses:

The President and Admiral both discard 2 skill cards

or

The president may choose to give the President title to the admiral, or move to the "Brig" location

How do you play this card in a solo game. In a solo game you have the president title and are the admiral. You may or may not have a support charachter.

It works the same as the ruling in the thread below I believe. You make the choice as admiral, so you can choose to discard 4 cards (since you are both the president and admiral) or choose the second action of "president may choose to give the president title to the admiral or move to the brig". You can choose the "give the title" part even if you are both. It doesn't make sense reality wise, but it's how you play the actions out.

You don't even lose the Admiralcy for being brigged in 1 player, do you?

I think it should be interpretted as follows:

Admiral chooses

Admiral discards 4 cards

Or

The President may choose to give the President Title to the support charachter, or move to the "brig" location. If the support charachter has become a revealed Pylon or becomes one then the President's Title is out of the game until the an Aributrator or Vice President or the president's Title is referenced again.

Yeah but I thought the solo rules say that the minor characters can never hold the title cards.

For the Brig rules for a Solo game it does not say that you don't loose the Admiral Title when you go to it. So the Admiracy title would move.

You're right the support charachter cannon take title cards.