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- W2046234021 abstract "We answer a question raised by Pillay, that is whether the infinite weight of the generic type of the free group is witnessed in $F_{omega}$. We also prove that the set of primitive elements in finite rank free groups is not uniformly definable. As a corollary, we observe that the generic type over the empty set is not isolated. Finally, we show that uncountable free groups are not $aleph_1$-homogeneous." @default.
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- W2046234021 date "2011-03-01" @default.
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- W2046234021 title "On the generic type of the free group" @default.
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- W2046234021 doi "https://doi.org/10.2178/jsl/1294170997" @default.
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