ON SMALL LENGTH EQUATIONS OVER TORSION-FREE GROUPS
1994 ◽
Vol 04
(04)
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pp. 575-589
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Keyword(s):
Let G be a group, <t> the free group generated by t and let r(t)∈G*<t>. The equation r(t)=1 is said to have a solution over G if it has a solution in some group that contains G. There is a conjecture (attributed to F. Levin) that if G is a torsion-free group, then any equation has a solution over G. In this paper we verify this conjecture in the case when the sum of the absolute values of the exponent of t in r(t) is not greater than six.
2019 ◽
Vol 12
(2)
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pp. 590-604
Keyword(s):
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2008 ◽
Vol 18
(06)
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pp. 979-987
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1995 ◽
Vol 38
(3)
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pp. 485-493
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1991 ◽
Vol 50
(2)
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pp. 243-247
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