This is an announcement for the paper "Systems formed by translates of one element in $L_p(\mathbb R)$" by E. Odell, B. Sari, Th. Schlumprecht, and B. Zheng. Abstract: Let $1\le p <\infty$, $f\in L_p(\real)$ and $\Lambda\subseteq \real$. We consider the closed subspace of $L_p(\real)$, $X_p (f,\Lambda)$, generated by the set of translations $f_{(\lambda)}$ of $f$ by $\lambda \in\Lambda$. If $p=1$ and $\{f_{(\lambda)} :\lambda\in\Lambda\}$ is a bounded minimal system in $L_1(\real)$, we prove that $X_1 (f,\Lambda)$ embeds almost isometrically into $\ell_1$. If $\{f_{(\lambda)} :\lambda\in\Lambda\}$ is an unconditional basic sequence in $L_p(\real)$, then $\{f_{(\lambda)} : \lambda\in\Lambda\}$ is equivalent to the unit vector basis of $\ell_p$ for $1\le p\le 2$ and $X_p (f,\Lambda)$ embeds into $\ell_p$ if $2<p\le 4$. If $p>4$, there exists $f\in L_p(\real)$ and $\Lambda \subseteq \zed$ so that $\{f_{(\lambda)} :\lambda\in\Lambda\}$ is unconditional basic and $L_p(\real)$ embeds isomorphically into $X_p (f,\Lambda)$. Archive classification: math.FA The source file(s), ossz.tex: 98122 bytes, is(are) stored in gzipped form as 0906.1162.gz with size 28kb. The corresponding postcript file has gzipped size 157kb. Submitted from: bunyamin@unt.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0906.1162 or http://arXiv.org/abs/0906.1162 or by email in unzipped form by transmitting an empty message with subject line uget 0906.1162 or in gzipped form by using subject line get 0906.1162 to: math@arXiv.org.