On core and bar-core partitions

Details On core and bar-core partitions On core and bar-core partitions

2010-11-15

arxiv.org/abs/1011.3323v1

Mathematics

Combinatorics

Scientific paper

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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