A woman carries a board displaying the portraits of Russia's President Dmitry Medvedev (R) and Prime Minister Vladimir Putin - December 10, 2011
A woman carries a board displaying the portraits of Russia's President Dmitry Medvedev, right, and Prime Minister Vladimir Putin during a sanctioned rally on a bridge near Bolotnaya Square in Moscow on Saturday to protest violations at parliamentary elections conducted last week. Tens of thousands of protesters took to the streets of cities across Russia on Saturday to demand an end to Vladimir Putin's rule and complain about the alleged election fraud in the biggest show of defiance since he took power more than a decade ago. The board (center, bottom) reads, "Where There Is a Sin, They Laugh." REUTERS/Sergei Karpukhin

Russian President Dmitry Medvedev on Sunday ordered an investigation into allegations of polling violations during last week's parliamentary elections after crowds came to protest against the vote in several major cities on Saturday, agencies said.

Tens of thousands of people in Moscow and around Russia demanded a rerun of the election on Saturday in the biggest opposition protests Russia has seen in years.

(Reporting By John Bowker; Editing by Melissa Akin)