On core and bar-core partitions
classification
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math.RT
keywords
bar-corecorepartitionpartitionsprimeprovedrelativelybar-partitions
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If $s$ and $t$ are relatively prime J. Olsson proved in 2008 that the $s$-core of a $t$-core partition is again a $t$-core partition, and that the $s$-bar-core of a $t$-bar-core partition is again a $t$-bar-core partition. Here generalized results are proved for partitions and bar-partitions when the restriction that $s$ and $t$ be relatively prime is removed.
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