Viking raids involved networks of thegns loyal to one king or another. Whilst is is true that many Swedes, especially from the Lake Mälaren area, went to Byzantium as witnessed by the Ingvar Runestones, nearly all England Runestones are also found in Sweden: [ame="http://en.wikipedia.org/wiki/England_runestones"]England are found in Sweden[/ame].
Áli/Alli had this stone raised in memory of himself. He took Knútr's payment in England. May God help his spirit. (Uppland 194)
And Danr and Húskarl and Sveinn had the stone erected in memory of Ulfríkr, their father's father. He had taken two payments in England. May God and God's mother help the souls of the father and son. (Uppland 241)
And Ulfr has taken three payments in England. That was the first that Tosti paid. Then Þorketill paid. Then Knútr paid. (Uppland 344)
There are about 30 that mention England and other than one in Norway and another one in Denmark, the rest are in Sweden with the majority being near the lakes Mälaren and Vättern.
The payments refer to danagäld and invariably these are expeditions organised by a Danish king and referred to in these runestones:
Eybjôrn raised this stone in memory of Skerðir. He died in the retinue in England (Södermanland 160)
Arnsteinn raised this stone in memory of Bjórr his son who died in the retinue when Knútr attacked England. (Norway 184)
The Tosti referred to in Sö 344 is probably Skoglar Toste, a chieftain in Västergötland. He was the father of Sigríð Storråda. Sigríð first marries Erik Segersäll. Their son, Olof Skötkonung, was accepted as king by both the Svear around Lake Mälaren and the Götar around Lake Vättern. Sigríð's second husband is Sweyn Forkbeard and their son is Knútr, Canute the Great. Olof and Knútr are therefore half brothers and Knútr appears to have established an organisation of thegns from Västergötland to Lake Mälaren, at one time also controlling Öland on Sweden's east coast, and he draws on these areas for his expeditions to England.
An interesting aspect of the runestones from around lakes Mälaren and Vättern is their use of the term viking and, according to some linguists Vikingr as a personal name, though some disagree that the two are linguistically related. Two other groups of swedish runestones, the Greece Runestones and the Ingvar Runestones show that the majority of expeditions were to the south east. England therefore was quite different. Whilst England, Ireland and France were de facto destinations for Norwegians and Danes, there was no need to mark them in any particular way. This was obviously not the case in Sweden. In Sweden, the term viking may have meant someone who went to England:
Tóla placed this stone in memory of Geirr, her son, a very good valiant man. He died on a viking raid on the western route (Västergötland 61)
"Ginnlaug, Holmgeirr's daughter, Sigrøðr and Gautr's sister, she had this bridge made and this stone raised in memory of Ôzurr, her husbandman, earl Hákon's son. He was the viking watch with Geitir" (Uppland 67)