1. An assembly for a turbine comprising a plurality of sectors which are adjacent to one another, each sector comprising at least one connecting edge of composite material with a ceramic matrix, each connecting edge comprising at least one groove or a housing and a sealing tongue present in each groove or housing, wherein each sealing tongue has a laminated structure comprising a plurality of strips, the lower strip and the upper strip of the laminated structure each being formed by a film of monolithic ceramic material, wherein each strip of the plurality of strips made of a film of monolithic ceramic material has a thickness of less than or equal to 50 μm.
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