Homogeneity in relatively free groups

نویسنده

  • Oleg V. Belegradek
چکیده

We prove that any torsion-free, residually finite relatively free group of infinite rank is not א1-homogeneous. This generalizes R. Sklinos’ result that a free group of infinite rank is not א1-homogeneous, and, in particular, gives a new simple proof of that result.

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عنوان ژورنال:
  • Arch. Math. Log.

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2012