Geodesic
Classification of groups generated by involutions of two-row Young tableaux
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 107-115

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If an arbitrary Young diagram is given, then we can associate with it a group acting on the set of all Young tableaux of this form. It turns out that if the diagram consists of two rows, this group is always isomorphic to either a symmetric or an alternating group. In the paper this alternative is resolved in terms of the lengths of the two rows. 
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     author = {M. Germanskov},
     title = {Classification of groups generated by involutions of two-row {Young} tableaux},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {107--115},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_528_a6/}
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M. Germanskov. Classification of groups generated by involutions of two-row Young tableaux. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 107-115. http://geodesic.mathdoc.fr/item/ZNSL_2023_528_a6/