The linear growth rates of the high-frequency modes are calculated for
strongly magnetized plasma with rapid non-equilibrium electrons chara
cterized by the power energy distribution and the two-side loss cone.
It is shown that within the wide-range electron energy spectrum (10 ke
V < E < 200 keV) the first-harmonic extraordinary wave is the dominant
mode for Y = omega(pe)/omega(Be) < 0.2 - 0.3, the lower hybrid wave i
s the dominant mode for 0.2 - 0.3 < Y < 0.5 - 0.6, and the slow extrao
rdinary wave is the dominant mode for 0.5 - 0.6 < Y < 0.9. All these m
odes are shown to be generated by the different groups of the rapid el
ectrons. The ranges of the parameters corresponding to the quasi-linea
r relaxation of instability due to the quasi-longitudinal waves are de
rived.