In this note it is shown that two mapping cones C(alpha), C(beta) of s
uspension elements of finite order alpha, beta in pi(m-1) (OR(k) S(n))
are of the same genus if and only if C(alpha) (V) OR(k)S(n) and C(bet
a) (V) OR(k) S(n) are homotopy equivalent. This generalises Molnar's r
esults for k greater-than-or-equal-to 1. However, contrary to what hap
pens for k = 1, here we do not always have C(alpha) (V) S(m) congruent
-to C(beta) (V) S(m).