Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density
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compactabeliandensitygrouplocallypositivesubsetsupper
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By using ergodic theoretic techniques following Hillel F\"{u}rstenberg, we prove that measurable subsets of a locally compact abelian group of positive upper density contain Szemer\'{e}di-wise configurations defined by an arbitrary compact subset of the group.
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