Lehmer’s problem for arbitrary groups
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We consider the problem whether for a group [Formula: see text] there exists a constant [Formula: see text] such that for any [Formula: see text]-matrix [Formula: see text] over the integral group ring [Formula: see text] the Fuglede–Kadison determinant of the [Formula: see text]-equivariant bounded operator [Formula: see text] given by right multiplication with [Formula: see text] is either one or greater or equal to [Formula: see text]. If [Formula: see text] is the infinite cyclic group and we consider only [Formula: see text], this is precisely Lehmer’s problem.
1978 ◽
Vol 19
(2)
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pp. 155-158
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2002 ◽
Vol 46
(1)
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pp. 233-245
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1990 ◽
Vol 42
(3)
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pp. 383-394
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2000 ◽
Vol 43
(1)
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pp. 60-62
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2012 ◽
Vol 11
(01)
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pp. 1250016
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2011 ◽
Vol 10
(04)
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pp. 711-725
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