We describe a wavelet transform analysis of the ROSAT Position Sensiti
ve Proportional Counter images of the Coma Cluster. On small scales, l
ess than or equal to 1', the wavelet analysis shows substructure domin
ated by two extended sources surrounding the two brightest cluster gal
axies, NGC 4874 and NGC 4889. On slightly larger scales, similar to 2'
, the wavelet analysis reveals a filament of X-ray emission originatin
g near the cluster's center, curving to the south and east for similar
to 25' in the direction of the galaxy NGC 4911, and ending near the g
alaxy NGC 4921. These results extend earlier ROSAT observations and fu
rther indicate the complex nature of the cluster's core. We consider t
wo possible explanations for the production of the filamentary feature
from interactions of the main cluster with a merging group. The featu
re could arise from either ram pressure stripped gas or a dark matter
perturbation of tidally stripped material.