Kamala Harris.Joe Raedle/ Getty ImagesWomen voters could prove key to Kamala Harris' election bid.Women tend to register and vote at higher rates than men.Here's how reproductive rights, Greek life, and celebrity endorsements could help Harris secure their votes.With the US election drawing ever nearer, both Vice President Kamala Harris and former President Donald Trump are turning their attention to a few specific voter groups in a number of key swing states that will likely determine who will be sitting in the White House come January.One group where Harris will hope to make big gains is women, who tend to register and vote at higher rates than men.And it seems to be going well for the vice president so far.Since President Joe Biden dropped out of the running for the election in late July, a number of polls have shown women leaning increasingly toward the Democrats.