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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
MathSciNet review:
1933320
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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.
References:
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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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