Stoke sporting director Jonathan Walters said: "As one of the more prominent players last season, Viktor adds quality, but just as important as the talent, it is also a character we introduce to the dressing room."
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The player himself also took the opportunity to comment on the move.
"It is fantastic to be here. Stoke City is a huge club and this is a proud moment for me and my family," he said.
"What my teammates, coaches and supporters can be sure of is that I will work very hard."