Coincidences between characters to hook partitions and 2-part partitions on families arising from 2-regular classes
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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Strongly refining results by Regev, Regev and Zeilberger, we prove surprising coincidences between characters to 2-part partitions of size $n$ and characters to hook partitions of size $n+2$ on two related families obtained by extending 2-regular conjugacy classes.
DOI : 10.37236/6598
Classification : 20C30, 05E10, 05A17
Mots-clés : symmetric groups, characters, hooks, 2-part partitions

Christine Bessenrodt  1

1 Institut für Algebra, Zahlentheorie und Diskrete Mathematik Fakultät für Mathematik und Physik Leibniz Universität Hannover
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     author = {Christine Bessenrodt},
     title = {Coincidences between characters to hook partitions and 2-part partitions on families arising from 2-regular classes},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {3},
     doi = {10.37236/6598},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/6598/}
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Christine Bessenrodt. Coincidences between characters to hook partitions and 2-part partitions on families arising from 2-regular classes. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6598

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