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In view of the recently reported evidence for a nonzero Majorana mass of theelectron neutrino, together with the established phenomena of atmospheric andsolar neutrino oscillations, the case of three nearly mass-degenerate Majorananeutrinos is now a distinct possibility. I show in this paper how a naturalpattern of symmetry breaking in the recently proposed $A_4$ model of Majorananeutrino masses can accommodate the data on neutrino oscillations, resulting inthe predictions $\sin^2 2 \theta_{atm} = 1$ and $\sin^2 2 \theta_{sol} = 2/3$.Comment: 8 pages, no figur

PATTERN OF THE APPROXIMATE MASS DEGENERACY OF MAJORANA NEUTRINOS