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Miscellaneous Properties of Relatively Free Groups

  • Hanna Neumann
Chapter
  • 213 Downloads
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 37)

Abstract

We consider free groups of finite rank and write F k for the absolutely free group of rank k, freely generated by f = {f1, ..., f k }. An automorphism of F k maps a verbal subgroup U(F k ) onto itself; hence

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Copyright information

© Springer-Verlag, Berlin · Heidelberg 1967

Authors and Affiliations

  • Hanna Neumann
    • 1
  1. 1.The School of General Studies Department of Pure MathematicsThe Australian National UniversityCanberraAustralia

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