Fraudulently

Tom has been fraudulently collecting insurance money for years.

In this way a monstrous swindle was perpetrated upon the community, by fraudulently appropriating the public money to the use and benefit of private individuals.

Tom overstayed his visa and obtained citizenship fraudulently.

But there is one study that has been interpreted to suggest it is at least possible. It found that between 32,000 and 2.8 million noncitizen voters might have fraudulently cast ballots in the 2008 presidential election. The study, based on a survey of 38,000 people after that election, has been under fire since it was published in 2014.