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The statement was the first mention since the tragedy that the couple had split.
Forward Koltsov played for the Belarus national team in the 2002 and 2010 Winter Olympics and spent parts of three seasons with the National Hockey League's Pittsburgh Penguins from 2002 and 2006.
The player was taken into custody in the southern Polish region of Silesia, prosecutors said in a statement. The player and his team were not publicly identified.
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