Geodesic
QUANTUM INCREASING SEQUENCES GENERATE QUANTUM PERMUTATION GROUPS
Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 631-639

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DOI

We answer a question of Skalski and Sołan (2016) about inner faithfulness of the Curran’s map of extending a quantum increasing sequence to a quantum permutation. Roughly speaking, we find a inductive setting in which the inner faithfulness of Curran’s map can be boiled down to inner faithfulness of similar map for smaller algebras and then rely on inductive generation result for quantum permutation groups of Brannan, Chirvasitu and Freslon (2018). 
JÓZIAK, PAWEŁ. QUANTUM INCREASING SEQUENCES GENERATE QUANTUM PERMUTATION GROUPS. Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 631-639. doi: 10.1017/S0017089519000387
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     author = {J\'OZIAK, PAWE{\L}},
     title = {QUANTUM {INCREASING} {SEQUENCES} {GENERATE} {QUANTUM} {PERMUTATION} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {631--639},
     year = {2020},
     volume = {62},
     number = {3},
     doi = {10.1017/S0017089519000387},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000387/}
}
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