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We show that all unipotent classes in finite simple Chevalley or Steinberggroups, different from PSL_n(q) and PSp_{2n}(q), collapse (i.e. are never thesupport of a finite-dimensional Nichols algebra), with a possible exception onone class of involutions in PSU_n(2^m).

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups