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Communications in Algebra Volume 38, 2010 - Issue 8
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Original Articles

Note on the Cantor–Bendixson Rank of Limit Groups

Abderezak Ould Houcine Université de Lyon 1, INSA de Lyon, Ecole Centrale de Lyon, CNRS, UMR5208, Institut Camille Jordan, Villeurbanne-Cedex, FranceCorrespondence[email protected]
Pages 2825-2831 | Received 21 Apr 2008, Published online: 18 Aug 2010
 
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Abstract

We show that the Cantor–Bendixson rank of a limit group is finite as well as that of a limit group of a linear group.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

We thank B. Poizat and F. Wagner for having pointed out that the QF-rank is bounded by the Morley rank.

Notes

Communicated by V. Gould.

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