OTL (as far as I know), the Viking raids and invasions of Britain and Ireland were limited to Norwegians and Danes. The Danes left a lasting cultural impact on Yorkshire, Lincolnshire and East Anglia (and Normandy), while the Norwegians left their imprint on Cumberland, the Scottish Highlands and parts of Ireland.
Now the Danes and Norwegians were culturally closer to each other than either were to Sweden. Danish names in Yorkshire and Norwegian names in Cumberland are often very similar. But what if some Swedish Vikings had gone west instead of east and had been part of the invasions of Britain?
I'm thinking mainly of cultural and linguistic effects rather than this actually having much effect on the pattern and success of the Viking invasions.