nmap on Redhat?

Is there anything like nmap on a *default* install of Redhat? I guess I
don't really need all the features of nmap. I just need to figure out if
a port is open and if its been active. Problem is I didn't set the
server up and don't know what's installed. any ideas of tools I should
look for? Or should I just install something? Is there any way to look
up past activity on a port?

Carl P.