Semisimple groups that are quasi-split over a tamely ramified extension (Q2414663)

Summary: Let \(K\) be a discretly henselian field whose residue field is separably closed. Answering a question raised by \textit{G. Prasad} [Am. J. Math. 142, No. 4, 1239--1267 (2020; Zbl 07229237)], we show that a semisimple \(K\)-group \(G\) is quasi-split if and only if it quasi-splits after a finite tamely ramified extension of \(K\).