@article {1709.03974, archivePrefix = {arXiv}, eprint = {1709.03974}, primaryClass = {math.CO}, author = {Alan J. Cain and António Malheiro}, title = {Combinatorics of cyclic shifts in plactic, hypoplactic, sylvester, Baxter, and related monoids}, year = {2017}, url = {http://arxiv.org/abs/1709.03974} }