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Recently the authors proved the existence of RoCK blocks for double covers ofsymmetric groups over an algebraically closed field of odd characteristic. Inthis paper we prove that these blocks lift to RoCK blocks over a suitablydefined discrete valuation ring. Such a lift is even splendidly derivedequivalent to its Brauer correspondent. We note that the techniques used in thecurrent article are almost completely independent from those previously used bythe authors. In particular, we do not make use of quiver Hecke superalgebrasand the main result is proved using methods solely from the theory ofrepresentations of finite groups. Therefore, this paper much more resembles thework of Chuang and Kessar, where RoCK blocks for symmetric groups wereconstructed.

RoCK blocks for double covers of symmetric groups over a complete discrete valuation ring