Redfield-Pólya theorem in $\mathrm{WSym}$
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013).

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We give noncommutative versions of the Redfield-Pólya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
@article{DMTCS_2013_special_264_a8,
     author = {Bultel, Jean-Paul and Chouria, Ali and Luque, Jean-Gabriel and Mallet, Olivier},
     title = {Redfield-P\'olya theorem in $\mathrm{WSym}$},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)},
     year = {2013},
     doi = {10.46298/dmtcs.2324},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2324/}
}
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Bultel, Jean-Paul; Chouria, Ali; Luque, Jean-Gabriel; Mallet, Olivier. Redfield-Pólya theorem in $\mathrm{WSym}$. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) (2013). doi : 10.46298/dmtcs.2324. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2324/

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