Assembly for a turbomachine

An assembly for a turbomachine, comprising a stator (1) and a rotor (2) rotatable relative to the stator (1) about an axis (X), the stator (1) comprising blades each comprising a vane (3) connected to a radially inner platform (5), a block of abradable material (6) extending radially inwardly from the radially inner platform (5) the rotor (2) having a shroud comprising an annular area (9), at least one lug (12) extending radially outwardly from said annular area (9), the radially outer end of the lug (12) cooperating with the block of abradable material (6), characterized in that the block of abradable material (6) has a honeycomb structure with cells (7) opening radially inwards, at least one tab (8) extending radially inwards from the platform (5) or the block of abradable material (6) the radially inner end (15) of the tab (8) cooperating with the annular area (9) of the stator shroud (1), the ratio e1/e2 of the thickness e1 of the tab (8), i.e. the axial dimension of the tab (8), to the thickness e2 of the lug (12), i.e. the axial dimension of the lug (12), is less than 5, preferably less than 0.2.