Fuchs' problem for dihedral groups

Fuchs' problem for dihedral groups

  1. P975 L11. The correct formula for $U_{p^{r-1} + 1}$ is $$U_{p^{r-1} + 1} = \mathbf{C}_{p-1} \times \mathbf{C}_{p^r} \times \mathbf{C}^{p-2}_{p^{r-1}} \times \mathbf{C}^{(p-1)^2}_{p^{r-2}} \times \mathbf{C}_{p^{r-3}}^{p(p-1)^2} \times \cdots \times \mathbf{C}_{p^{2}}^{p^{r-4}(p-1)^2} \times \mathbf{C}_{p}^{p^{r-3}(p-1)^2}.$$
  2. P975 L12. The first equation on this line should read “$\mathrm{d}(U_{p^{r-1}+1}) \geq 1 + (p-1)p^{r-2}.$”