The way cycles in permutations are written in my country's textbooks (Serbia) is with square brackets [ and ], but with only one horizontal line at the top to denote the beginning of the permutation, and only one horizontal line at the bottom at the end.
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\newcommand{\permcycle}[1]{\lceil #1 \rfloor}and then use$\permcycle{1, 2, 3} \permcycle{p, q}$. – Werner Sep 07 '17 at 21:37