Group-Interview Secretary Problem

This paper explains it better than I could.

http://www3.stat.sinica.edu.tw/statistica/oldpdf/A10n216.pdf

I would have thought that for fixed $k$, the probability of getting the best candidate from a total of $kN$ candidates interviewed $k$ at a time would be the same as that of getting the best of $N$ candidates interviewed $1$ at a time, i.e. converging on $1/e$ as $N$ increases.