BAGHDAD — The Islamic State broke an uncharacteristic silence on Thursday about the Iraqi military’s three-day-old assault to recapture the city of Ramadi, releasing a flurry of statements asserting that its fighters had killed dozens of Iraqi government forces in attacks in the city and on its outskirts.

In one Islamic State dispatch released via social media, marked “urgent,” the group said a five-member suicide squad had ambushed police officers at an outpost it identified as the headquarters of the Second Regiment of the Federal Police.

Other statements by the group claimed to have killed more than 30 Iraqi soldiers, with suicide bombs and by detonating hidden explosives inside buildings, according to translations of the statements by the SITE Intelligence Group, a research firm in Bethesda, Md., that monitors jihadist postings on the Internet.

Taken together, the statements were the first assertion by the militant group that it had inflicted serious damage against Iraqi military forces engaged in the Ramadi siege.