LINEAR ESTIMATES FOR SOLUTIONS OF QUADRATIC EQUATIONS IN FREE GROUPS
2012 ◽
Vol 22
(01)
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pp. 1250004
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We prove that in a free group the length of the value of each variable in a minimal solution of a standard quadratic equation is bounded by 2s for an orientable equation and by 12s4 for a non-orientable equation, where s is the sum of the lengths of the coefficients.
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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1981 ◽
Vol 24
(2)
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pp. 129-136
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2002 ◽
Vol 54
(1)
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pp. 71-91
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2006 ◽
Vol 16
(06)
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pp. 1031-1045
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2005 ◽
Vol 14
(08)
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pp. 1087-1098
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