I had some great questions by message I thought I should answer here for all:
>We have been trying to collect these Peas for six months now, and it
>became somewhat obsessive! The green ones are pretty rare
>From what I understand, as a layperson, the galaxies (compact dwarfs?) are green
>because of how the colour has been redshifted from the original intense blue, but
>also from the amount of [OIII] present when compared to the other ingredients.
>Why the green ones are preferable to study rather than others is something that
>could be explained a bit more in the thread? I am not a scientist and often wonder
>why these galaxies are green in SDSS, but not in other sources.
Most galaxies (almost all the ones we see in SDSS & galaxy zoo) fall into 2 classes - the ellipticals, these tend to be red or the spirals, which tend to be blue. Both classes of galaxies are much larger then the Peas. The emission lines we see in the peas (that big OIII line) is cause by hot gas. The heating source for gas in galaxies is sometimes a black hole (this is the quasars and AGN that are being collected in some of the other threads) or young hot stars. By studying the Peas emission lines in greater detail we can determine the temperature of the the heating source of the gas and reveal whether its a black hole (it would have to be surrounded by lots of gas to look anything like the peas' spectrum) or if its star formation.
I think part of the reason we're so interested in the Peas is that they don't fall so neatly into any of the typically studied categories. They appear to be quite small and compact, but certainly aren't stars or distant quasars. At first glance, they have emission lines like star forming galaxies & buried AGN, but they are much smaller then what we'd expect to see at these nearby redshifts. (Or at least these redshifts seem nearby to me because I spend the rest of my time studying the Deep Fields.)
Please feel free to ask me any other questions. I know that there are people with a variety of different Astronomy backgrounds reading this. Also, if you're an expert with other ideas of why the Peas are so interesting - post away

I study star formation in AGN host galaxies, so of course those two lines of study are the first things I think of when confronted with the Peas.