You're a wormhole group, right? I'm great at wormholes. You should see the list of WH corps I've been in, it's pretty extensive. You should make me a director. Trust me, I'm great at asset management.
For Serious Now:
I led a sizable and well-respected group of Player Killers, Griefers, and subtle trolls in a different MMO for ~6 years (they are still around today without my leadership), and during that time I led a much larger (and highly successful) alliance of PKers and Griefers for about 2-3 years (which died without me). Here is what I have learned:
-Don't be afraid to kick people. Do it quickly, with minimum of fanfare. If people want to know why so-and-so got kicked, have your reasons prepared and in easy-to-read list form. Beware of trolls — some are of extreme use, trolling your foes into stupidrage. These should be nurtured, to a point. But be careful lest they grow bored or resentful towards someone in your corp because when trolling of that caliber turns inwards, it can split your corp right down the middle. Never accept people trolling each other out of your group.
-Why are you blowing people up? Nail down your reason and stay consistent. I know you've jumped from reason to reason in the past, and if you want your corp to grow you are going to have to stop that. Sit down. Think it through. Follow the twisted logic train down to its source, and build your argument for why People Gotta Get Gunned.
Me? I hate materialism. I burn people's assets, or turn their assets against them. Always have, ever since I was a nub.
You seem to hate hypocrisy or arrogance, or some such thing. My vagueness on the issue is not a good thing. Make sure bystanders (and potential recruits) understand exactly what it is you hate so much. You aren't a Faction Loyalist group, so you need to really, really nail down your purpose in order to draw people in.
-Choose an opponent you know you can fight. Not WIN against. Just fight. Your fight against PYRE fizzled because you lived in a Wormhole and logged in at X time, while they lived in Lowsec and logged in at Y time. That is no way to conduct a war. Send out scouts to find out when your potential enemy is active, and where. If both of these factors are convenient for your corp, then deploy your assets nearby+clone services. After that is done you attack them, with or without warning. If you do warn them, don't wait — hit them on the same day you dec them. Make a splashy statement right off the bat so that you can immediately wave some results around.
-Don't just delegate responsibility, delegate leadership, and foster new leaders. Always always always. This is something I am terrible at, since I have a tendency to micromanage and crowd out other people. Really encourage people to learn to FC and manage campaigns.
I made it a policy to have newly recruited PKers brainstorm an idea for a new campaign immediately upon joining, and sometimes this lead to them leading our very established murdergroup within a week or so of gaining entry. The more members feel like they are contributing meaningfully, the longer they will stay and the more enthusiastic they will be.
Be an inspiring and confident leader (confidence is key), but don't overshadow your second, third, and fourth in command too. You are the Boss of Bosses de jure, so make sure that the others can fill your shoes when RL/burnout comes knocking. There's nothing to kill group enthusiasm like an uninspiring Second.
Also, have a second, third, and fourth in command. Seriously.
-Retaining Members should always be a priority. Put together an easy-to-follow orientation for new recruits, explaining how your forums/channels work, how the internal social atmosphere works, and asset-management details. Make their transition from outsider to insider as smooth and comfortable as possible. This also relates to the Trolls.
-Image appeal. Do you have a well-put-together wikipage and website? Are your members "staying on message" (I fuckin' love political jargon) in public? Do they behave radically different OOC? In the PK group I mentioned before, we almost never fully dropped character, even in OOC settings, which led to us really impressing an image of quiet menace and respectability upon the playerbase, while other groups were seen far more as casual griefers.
-Don't worry about what your enemies say about you, or how bystanders react to them. In your recruitment thread, you say that you're out there to PVP and troll. Your enemies are going to be as nasty to you as possible, so you have to have thicker skin and better (read:wittier and classier) smacktalk. Don't back down because propaganda is against you. Be horribly, horribly persistent. My group used to spend months on end on a single enemy group, grinding them down.
This goes doubly for the IGS. In fact, fuck the IGS. You're a PVP group. What happens in space matters 1000% more than forums. Gank the shit out of your enemies, brawl their fleets into submission, hotdrop their blingboats, and then be smug and condescending when they lambast you for being cheap and dishonorable (because you will never be labelled as 'honorable' as long as you are winning, this is a fact of EVE - "the only good fight is the one you lost", etc).
I'm sure I have more advice, but it's not rising to the top of my brain right now.
Oh, one more thing. Don't let me join your corp. Be careful who gets access to your hangars. Give them FC responsibilities, but limit their asset involvement.