I've used Maya 7.0 on SUSE Linux and found it more stable after installing the update to 7.0.1. Your issue may be due to a buggy graphics driver. Try installing the latest graphics driver for your graphics card. I've been able to run Maya on low end graphics cards such as NVIDIA Geforce 6600 but found stability to be an issue as well there are more features available when using a highend card such as NVIDIA Quadro.
For a Maya crash report set an environment variable MAYA_DEBUG_ENABLE_CRASH_REPORTING before running Maya, if Maya does crash you will get a stack trace. If not and its reproducible, then running maya -d gdb will generally give you more information on what is causing the issue or at least to file a bug report with Autodesk.