"their nexus" is correct and usable in written English.
You can use it when you are referring to a connection that exists between two or more things. For example, "The researcher found a surprising nexus between medical treatments and environmental factors."
"Their nexus with the Punjabi Taliban have given them greater reach," a Pakistani law enforcement official said.
Of course, the same self-interest also creates a web of commitment and expectation, as Americans know well from their nexus of relationships from Latin America to the Middle East, from the rim of Asia to the heart of Europe.
What's more, he thinks that Apple's iPad mini - the "small tablet" format that Google and Amazon have both made popular through their Nexus and Kindle Fire offerings - is "too small" compared to the large-format iPad.
The guys at iFixit are at it again and just posted their Nexus 7 teardown guide.
The other day, Engadget got the first photos of the Nexus S, Google's sequel to their Nexus One phone.
Samsung and Google got some considerable mileage out of their Nexus teaser video, and Motorola apparently wants to join in on the fun.
LG and Google have worked together again to bring you their latest Nexus incarnation.
The company showed so much promise in their initial Nexus plan.
So it's really the nature of their social nexus that they form that's probably the formative element and the messaging within that".
And that's driving a lot of first generation device owners to trade in their old Nexus 7, according to gadget buy-back site Gazelle.
Thanks largely to a massive multi-million dollar ad push, Verizon was able to make the Droid the flagship Android device — and that's despite Google releasing their own Nexus models.
