Translation of Ichiro Satake's paper 'Compactification des espaces quotients de Siegel I'
I. Satake (translated by A. Ghitza)
Séminaire Henri Cartan 10, No. 2 (1957-1958).
This is an English translation of Ichiro Satake's talk in the Séminaire Henri Cartan giving the construction of what we now call the Satake compactification of the Siegel modular varieties.