Several extensions of the Standard Model require the burden of electro
weak symmetry breaking to be shared by multiple states or sectors. Thi
s leads to the possibility of the top quark interacting with a scalar
more strongly than it does with the Standard Model Higgs boson. In top
-quark condensation this possibility is natural. We also discuss how t
his might be realized in supersymmetric theories. The properties of a
strongly coupled Higgs boson in top-quark condensation and supersymmet
ry are described. We comment on the difficulties of seeing such a stat
e at the Tevatron and LEPII, and study the dramatic signatures it coul
d produce at the LHC. The four top quark signature is especially usefu
l in the search for a strongly coupled Higgs boson. We also calculate
the rates of the more conventional Higgs boson signatures at the LHC,
including the two photon and four lepton signals, and compare them to
expectations in the Standard Model. (C) 1998 Elsevier Science B.V.