A self-igniting match, ie. one which could be lit by striking on any surface (as opposed to safety matches which only light against the material on the side of the box)
1915: While you've a lucifer to light your fag,Smile, boys, that's the style. — George Asaf, song Pack up your Troubles.
A match made of a sliver of wood tipped with a combustible substance, and ignited by friction; called also lucifer match, and locofoco
lighter consisting of a thin piece of wood or cardboard tipped with combustible chemical; ignites with friction; "he always carries matches to light his pipe"