connecting two arduinos wirelessly

Hi people..

I'm working on a project and I was wondering if I can connect two different arduinos together- Lilypad Arduino and nano Arduino-
The thing is the nano arduino is going to send the signal from the buttons that are connected to it to the lilypad which it'll receive the signals and will do the output there.

Whats the way to it? How do I send the signal from nano Arduino to Lilypad Arduino?

Thank you so much! (:

There are several options for wireless communication.

Bluetooth is one - it is very much like serial-by-wireless.

nRF24LO1+ transceiver modules are another option. See this Simple nRF24L01+ Tutorial

Infra-red is another option - probably most useful for one-way communication. See this Serial IR Thread.