  The Teleparallel Theory is equivalent to General Relativity, but whereas in
the latter gravity has to do with curvature, in the former gravity is described
by torsion. As is well known, there is in the literature a host of alternative
theories of gravity, among them the so called extended theories, in which
additional terms are added to the action, such as for example in the $f(R)$ and
$f(T)$ gravities, where $R$ is the Ricci scalar and $T$ is the scalar torsion,
respectively. One of the ways to probe alternative gravity is via compact
objects. In fact, there is in the literature a series of papers on compact
objects in $f(R)$ and $f(T)$ gravity. In particular, there are several papers
that consider $f(T) = T + \xi T^2$, where $\xi$ is a real constant. In this
paper, we generalise such extension considering compact stars in $f (T ) = T +
\xi T^\beta$ gravity, where $\xi$ and $\beta$ are real constants and looking
out for the implications in their maximum masses and compactness in comparison
to the General Relativity. Also, we are led to constrain the $\beta$ parameter
to positive integers which is a restriction not imposed by cosmology.
