Some free groups of matrices and the Burau representation of B4
1991 ◽
Vol 110
(2)
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pp. 225-228
Using a criterion due to J. Tits [4] we shall show that it is easy to give a pair of conjugate matrices in GLn(ℂ) which freely generate a free group of rank two. The difficulty lies in producing two such matrices whose freeness does not follow directly from the known freeness of two 2 × 2 matrices. Finally we show that the well known problem as to whether the Burau representation of Artin's braid group B4 is faithful turns out to be arbitrarily close to being true in a large number of ways. Thanks are due to the referee for his helpful comments.
2005 ◽
Vol 14
(08)
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pp. 1087-1098
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2007 ◽
Vol 2007
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pp. 1-9
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2015 ◽
Vol 24
(12)
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pp. 1550065
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2003 ◽
Vol 02
(02)
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pp. 169-175
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2011 ◽
Vol 84
(1)
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pp. 103-110
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1949 ◽
Vol 1
(2)
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pp. 187-190
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1998 ◽
Vol 41
(2)
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pp. 325-332
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2019 ◽
Vol 12
(2)
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pp. 590-604
2015 ◽
Vol 159
(1)
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pp. 89-114
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