Wreath Product of O*-Groups that is not in O*
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It is well known that the wreath product of two ordered groups is an ordered group. In [2] Fuchs asks if the same is true for O*-groups. Here we construct an example to show that the wreath product of an infinite cyclic group with a free metabelian group is not an O*-group.
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1969 ◽
Vol 10
(1-2)
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pp. 162-168
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1983 ◽
Vol 26
(1)
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pp. 89-96
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1953 ◽
Vol 49
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pp. 579-589
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2009 ◽
Vol 2009
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pp. 1-12
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1971 ◽
Vol 5
(3)
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pp. 331-335
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1994 ◽
Vol 46
(2)
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pp. 298-307
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