A finitely generated group is called an accessible group if there exists a tree on which the group acts without inversions such that each edge group is finite, no vertex is stabilized by the group, and each vertex group has at most one end. In this paper, we show that if H is a subgroup of the accessible G, then

(1) If H is of finite index in G, then H is accessible.

(2) If H is finite and normal, then the quotient group G/H is accessible.

ends of groups, groups acting on trees, accessible groups.