Less likely to negotiate for higher pay (HBR summary of several studies, rather than studies themselves): https://hbr.org/2003/10/nice-girls-dont-ask/
And an old, but seminal, look at the ways this is reflected in the way women express themselves: http://web.stanford.edu/class/linguist156/Lakoff_1973.pdf
One example they provide is
(a) "Oh dear, you've put the peanut butter in the refrigerator again." vs (b) "Shit, you've put the peanut butter in the refrigerator again."
And we are meant to decide which one was said by a woman. Then it goes on "It is safe to predict that people would classify the first sentence as part of 'women's language', the second as 'men's language'"
Really??? Because women don't say shit (even in 1973)? And men don't say "oh dear"? If that is seminal and what the modern opinion is based on, excuse me for not being impressed.
Edit: just read more of the second link about negotiations. What I see is them just making another unsubstantiated claim ("it's because of socialisation"). But they asked people over the internet when they last negotiated. Have they taken into account that many women perhaps don't even have a job where they get a salary (ie they are house wives)? Or maybe they are more likely to take on jobs that are unionized (teachers, for example), so that the salary is fixed anyway? And so on. Surely there are reasons - maybe it even is socialization, but there is nothing in the articles to substantiate that claim. It is just the author's bias.