The recent discovery by Gebhardt et al. and Ferrarese & Merritt of a correl
ation between nuclear black hole mass M-bh and stellar velocity dispersion
a, in elliptical galaxies and spiral bulges has raised the question whether
such a relationship exists for active galactic nuclei (AGNs). Estimates of
M-bh for many AGNs, made using reverberation mapping techniques, allow exp
loration of the relationship between black hole mass, the host galaxy, and
the energetics of nuclear emission. However, since only a few AGNs have bot
h M-bh and a, measurements, we use the [O III] lambda 5007 emission-line wi
dths on the assumption that for most AGNs the forbidden line kinematics are
dominated by virial motion in the host galaxy bulge. We find that a relati
on does exist between M-bh and the [O III] line width for AGNs, which is si
milar to the one found by Gebhardt et al., although with more scatter, as e
xpected if secondary influences on the gas kinematics are also present. Our
conclusion is that both active and inactive galaxies follow the same relat
ionship between black hole mass and bulge gravitational potential. We find
no compelling evidence for systematic differences in the mass estimates fro
m reverberation mapping and stellar dynamics. We also find that for radio-q
uiet AGNs, the radio power and black hole mass are highly correlated, linki
ng emission on scales of kiloparsecs with the nuclear energy source.