Security forums are full of postings from supporters of both groups, with various negative comments from both sides, along with a dose of humour from security professionals.
According to Network World, a posting by TeaMp0isoN says the Dutch hackers - who claim that LulzSec are not true hackers - plan on revealing names, addresses and phone numbers of the members of LulzSec:
"Oh and TeaMp0isoN Issue 2 is coming out VERY soon exposing lulzsec members (pictures, addresses, passwords, ips, phone numbers etc)," the group has said.
The newswire says that the threat appears to come from a 17-year-old member of TeaMp0ison who has questioned LulzSec's technical skills and who was then ridiculed by LulzSec.
"[Y]ou posted hashes from public forums and then claimed you doxed us and laughed at the fact that i was 17 years old. [S]top telling yourself that u are hackers," the posting says.
Network World goes on to say that all of this comes a day after LulzSec posted the identities of two of its own members that it claims leaked LulzSec log information.
"The author of the LulzSec Twitter stream seems to think that law enforcement officials in the US are after at least one of them who goes by the name m_nerva.”Remember this tweet, m_nerva, for I know you'll read it: your cold jail cell will be haunted with our endless laughter," one tweet says," notes the newswire.
The New York Times, meanwhile, is reporting that the FBI - apparently hot on the trail of LulzSec members - has been taking down a number of legitimate websites offline in its attempt to hunt down LulzSec and any affiliated hackers.
According to the report, the FBI seized web servers during a raid on a data centre on Tuesday morning. The paper says that the raid on the centre, which is owned by Switzerland-based DigitalOne, seizure inadvertently took down websites owned by the New York-based Curbed Network, Instapaper and others.
"After the FBI's unprofessional 'work,' we cannot restart our own servers, that's why our web site is offline and support doesn't work," said DigitalOne's chief executive, Sergej Ostroumow in an apologetic statement to customers.
"Our servers happened to be in with some naughty servers," he noted, adding that the FBI probably took entire server racks because they mistakenly thought that "one enclosure equals to one server."