Sums of Complexes in Torsion-Free Abelian Groups
1969 ◽
Vol 12
(4)
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pp. 475-478
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Keyword(s):
The number of elements in the sum A + B of two complexes A and B of a group G which have multiple representations a + b = a '+ b' has been investigated by Scherk and Kemperman [1]. Kemperman [2] appealed to transfinite techniques (to order G) to prove:If G is a torsion-free abelian group with finite subsets A and B with | B | ≥ 2, then at least two elements c of A + B admit exactly one representation c = a + b.
1992 ◽
Vol 52
(2)
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pp. 219-236
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Keyword(s):
Keyword(s):
1989 ◽
Vol 39
(1)
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pp. 21-24
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Keyword(s):
Keyword(s):
1969 ◽
Vol 12
(4)
◽
pp. 479-480
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2011 ◽
Vol 21
(08)
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pp. 1463-1472
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2000 ◽
Vol 20
(4)
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pp. 1111-1125
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