Frykman is a surname. Notable people with the surname include:
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Anna-Lisa Frykman (1889–1960), Swedish composer, song lyricist, and teacher
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John Frykman (1932–2017), American Lutheran minister and psychotherapist
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Gösta Frykman (1909–1974), Swedish Army officer
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Götrik Frykman (1891–1944), Swedish bandy player and footballer
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Nils Frykman (1842–1911), Swedish teacher, evangelist, and hymnwriter
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Per Frykman (born 1964), Swedish paralympic equestrian
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