TITLE: Symbol for set all partitions of a set
QUESTION [7 upvotes]: Is there a symbol for set all partitions of a set (like P for Power set)?
P.S. I need such symbol in writing some mathematical related notes.

REPLY [2 votes]: See this answer to a similar question on MO. I suggest stealing notation from combinatorics and letting $\mathrm{B}_S$ denote the set of partitions of $S$, since the Bell number $\mathrm{B}_{|S|}$ is the number of partitions of $S$.