The "British Freikorps" is a false name given to the "British Free Corps" and is incorrect.
The "British Free Corps" was a small unit in the "Waffen SS" made up of prisoners of war.
A detailed description and information is available on the link below.
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The Freikorps were bands of right-wing mercenaries active in 1919-1920 and later. They fought against Communists and people they thought were Communists.
The most notorious was the Marine brigade or Ehrhardt brigade which was also rabidly anti-Jewish.
Others were "Freikorps von Oven" Freikorps Görlitz" and "Freikorps Hülsen".
Note that in 1813-14 the Freikorps fighting as units of the Prussian army against Napoleonic France were something quite different and perfectly honourable -volunteers who fought without pay and provided their own weapons. The best known was Lützow's Freikorps.