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On pro-unipotent groups satisfying the Golod-Shafarevich condition

Author(s): M. Kassabov
Journal: Proc. Amer. Math. Soc. 131 (2003), 329-336.
MSC (2000): Primary 20E18; Secondary 17B65, 22E65
Posted: September 19, 2002
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Abstract: We prove that a pro-unipotent group satisfying the Golod-Shafarevich condition contains a free non-abelian pro-unipotent group. Together with the result of A. Magid this implies that such a group is not linear.

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Additional Information:

M. Kassabov
Affiliation: Department of Mathematics, Yale University, 10 Hillhouse Ave., P.O. Box 208283, New Haven, Connecticut 06520-8283
Email: martin.kassabov@yale.edu

DOI: 10.1090/S0002-9939-02-06824-7
PII: S 0002-9939(02)06824-7
Keywords: Pro-unipotent groups, Golod--Shafarevich condition
Received by editor(s): November 16, 2000
Posted: September 19, 2002
Communicated by: Lance W. Small
Copyright of article: Copyright 2002, American Mathematical Society

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