Nouns

(n)core, nucleus, core groupa small group of indispensable persons or things“five periodicals make up the core of their publishing program”
(n)corethe center of an object“the ball has a titanium core”
(n)corethe central part of the Earth
(n)kernel, substance, core, center, centre, essence, gist, heart, heart and soul, inwardness, marrow, meat, nub, pith, sum, nitty-grittythe choicest or most essential or most vital part of some idea or experience“the gist of the prosecutor's argument”, “the heart and soul of the Republican Party”, “the nub of the story”
(n)corea cylindrical sample of soil or rock obtained with a hollow drill
(n)effect, essence, burden, core, gistthe central meaning or theme of a speech or literary work
(n)core, magnetic core(computer science) a tiny ferrite toroid formerly used in a random access memory to store one bit of data; now superseded by semiconductor memories“each core has three wires passing through it, providing the means to select and detect the contents of each bit”
(n)corethe chamber of a nuclear reactor containing the fissile material where the reaction takes place
(n)corea bar of magnetic material (as soft iron) that passes through a coil and serves to increase the inductance of the coil

Verbs

(v)coreremove the core or center from“core an apple”