I have been able to make GEdit crash on my fresh RH 6.1
install by doing various things.  I had no problems under RH
6.0.  All crashes are Seg Faults and core is dumped.

1) Opened a file, copied some text, pasted the text, opened
the search dialog, canceled the search operation, hit the
print button, hit OK and it crashes.

2) Checking some options in the settings menu causes GEdit
to crash.

3) Opening the Settings->Preferences dialog and making any
change followed by either Apply or OK will cause GEdit to
crash.

Running:

Dell Dimension XPS R400
Intel PII 400Mhz
128MB RAM