Lie Group of the Strong-Coupling Theory. I. Calculation of the Coupling-Constant Ratios and Magnetic Moments for Symmetric Pseudoscalar-Meson Theory

All the isobar-pion coupling constants are calculated using the Lie algebra $\mathrm{}\left[SU\right(2\mathrm{})\mathrm{}\otimes \mathrm{SU}(2\left)\right]\times T_9$ of the strong-coupling theory. The $N^{*}\to N\pi$ reduced width comes out to be in agreement with experiment. We also calculate isobar magnetic moments in terms of proton and neutron magnetic moments. The results obtained are also compared with $\mathrm{SU}\left(6\right)\mathrm{}$ and reciprocal-bootstrap predictions.