I've been tossing around the idea of starting a group of people who are committed to buying Bitcoin every month. Can be a small portion, like 5$, or however much people can afford (I suppose it would make sense to use higher amounts for fee reasons, though). I myself have set up a monthly wire transfer from my bank account to Coinbase and a recurring purchase of Bitcoin every 1st day of the month. This is really simple, and you keep investing and $-cost-averaging your BTC purchases.
Who's in?
It's the exact idea on which mutual fund houses are functioning and the monthly purchasing is called "SIP". But anyway, why do you want to create a group?
Does that mean, you will first create pool of funds and then buy the bitcoin in one go, and then distribute the proportionate amount of bitcoins to the investment of the group member? Am I understanding it correctly?