As shared back in February, Adobe is abandoning support for Flash Player on Linux. However, they are allowing Google to continue the Flash Linux support via a PPAPI (Pepper) plug-in, which right now is a plug-in API only implemented by the Chrome/Chromium web-browser.
In March Adobe pushed out the last major Linux update meanwhile today with Chrome 20 we have the Google-maintained Flash by default for Linux x86 and x86_64 users.
The Google Chrome 20 release announcement can be found on their blog, but it's not too exciting. Aside from supporting the new Flash implementation for Linux users, there's bug-fixes and the usual round of other enhancements.