  In our earlier paper (K. Eda, U. Karimov, and D. Repov\v{s}, \emph{A
construction of simply connected noncontractible cell-like two-dimensional
Peano continua}, Fund. Math. \textbf{195} (2007), 193--203) we introduced a
cone-like space $SC(Z)$. In the present note we establish some new algebraic
properties of $SC(Z)$.
