## Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank.

### Summary

Summary: In this paper we construct a compactification of the Bruhat-Tits building associated to the group $PGL(V)$ by attaching all the Bruhat-Tits buildings of $PGL(W)$ for non-trivial subspaces $W$ of $V$ as a boundary.

20E42, 20G25

### Keywords/Phrases

Bruhat-Tits buildings, PGL, compactification