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In OTL, the unification of the Picts and the Gaelic Scots (involving people like Kenneth MacCalpin and Constantine etc) which created the Kingdom of Scotland/Alba resulted in, or sped up, Gaelicisation across the land, in which Gaelic replaced Pictish, Cumbric, defeated Norse and in considerable areas old English with the exception of the extreme North where Norse survived and developed into the local Norn, and the Extreme South East, where English survived.

But what if, during the period where the Vikings were wreaking Havock and turning the tables, Norse had won and the newly forming culture across Northern Britain was not Gaelic, but Norse? If Norse had come to dominate not just the Northern Isles, but the Mainland and the Hebrides aswell, what would the result be of this Norse Kingdom, assuming that some form of National Unity emerges, like in OTL. Perhaps this Norse Kingdom could have eaten into Northumbria?

How would a Norse Kingdom (not being called Scotland) relate to Gaelic Ireland, England and the rest of the Scandinavian world?

Could you imagine Norse giving way to English during the High Middle Ages like Gaelic did in OTL?
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