An inter-turbine casing for a turbomachine comprising: - an inner shroud, an outer shroud and a set of arms extending radially between the inner shroud and the outer shroud, the inner shroud and the outer shroud extending coaxially around a longitudinal axis, - a set of splitter blades positioned circumferentially between the arms, each splitter blade comprising a root provided with an inner platform fixed to the inner shroud and a head provided with an outer platform fixed to the outer shroud the inner shroud comprising at least one inner groove configured to slidingly receive one or several inner platform(s), the outer shroud comprising at least one outer groove configured to slidingly receive one or several outer platform(s), the inter-turbine casing further comprising means (4, 5) for blocking the splitter blades in the inner and outer grooves, the inter-turbine casing being characterised in that: - each inner platform and each outer platform has an upstream face (34, 37) and a downstream face (35, 38) and comprises two studs, a first one of the studs extending from the upstream face (34, 37) whereas the second one of the studs extends from the downstream face (35, 38), - each inner groove and each outer groove has an upstream border (14, 24) and a downstream border (15, 25), a rib (12, 22) being formed in each upstream border (14, 24) and in each downstream border (15, 25) and being configured to receive an associated stud in order to radially block the splitter blades in said inner and outer grooves (11, 21). - an inner shroud, an outer shroud and a set of arms extending radially between the inner shroud and the outer shroud, the inner shroud and the outer shroud extending coaxially around a longitudinal axis, - a set of splitter blades positioned circumferentially between the arms, each splitter blade comprising a root provided with an inner platform fixed to the inner shroud and a head provided with an outer platform fixed to the outer shroud the inner shroud comprising at least one inner groove configured to slidingly receive one or several inner platform(s), the outer shroud comprising at least one outer groove configured to slidingly receive one or several outer platform(s), the inter-turbine casing further comprising means (4, 5) for blocking the splitter blades in the inner and outer grooves, the inter-turbine casing being characterised in that: - each inner platform and each outer platform has an upstream face (34, 37) and a downstream face (35, 38) and comprises two studs, a first one of the studs extending from the upstream face (34, 37) whereas the second one of the studs extends from the downstream face (35, 38), - each inner groove and each outer groove has an upstream border (14, 24) and a downstream border (15, 25), a rib (12, 22) being formed in each upstream border (14, 24) and in each downstream border (15, 25) and being configured to receive an associated stud in order to radially block the splitter blades in said inner and outer grooves (11, 21). the inner shroud comprising at least one inner groove configured to slidingly receive one or several inner platform(s), the outer shroud comprising at least one outer groove configured to slidingly receive one or several outer platform(s), the inter-turbine casing further comprising means (4, 5) for blocking the splitter blades in the inner and outer grooves, the inter-turbine casing being characterised in that: - each inner platform and each outer platform has an upstream face (34, 37) and a downstream face (35, 38) and comprises two studs, a first one of the studs extending from the upstream face (34, 37) whereas the second one of the studs extends from the downstream face (35, 38), - each inner groove and each outer groove has an upstream border (14, 24) and a downstream border (15, 25), a rib (12, 22) being formed in each upstream border (14, 24) and in each downstream border (15, 25) and being configured to receive an associated stud in order to radially block the splitter blades in said inner and outer grooves (11, 21). - each inner platform and each outer platform has an upstream face (34, 37) and a downstream face (35, 38) and comprises two studs, a first one of the studs extending from the upstream face (34, 37) whereas the second one of the studs extends from the downstream face (35, 38), - each inner groove and each outer groove has an upstream border (14, 24) and a downstream border (15, 25), a rib (12, 22) being formed in each upstream border (14, 24) and in each downstream border (15, 25) and being configured to receive an associated stud in order to radially block the splitter blades in said inner and outer grooves (11, 21).