Bourbaki?

I just picked up a book in the local library that is a biography of
Coxeter ("The Infinite Mind"). In early pages the author describes
Bourbaki as a real person. Now its my impression that Bourbaki is a
name adopted by a group of French mathematicians in the early part of
the 20th century but I coudn't believe that an author who had gone to
the trouble of writing a biography would make such a mistake. Am I
missing something. Am I wrong about Bourbaki?

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