F. Bergeron, G. Labelle, and P. Leroux, Combinatorial Species and Tree-like Structures, Encyclopedia of Mathematics and Its Applications No. 67, 1997.

N. Bergeron, C. Reutenauer, M. Rosas, and M. Zabrocki, Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables, Canad, J. Math, vol.60, issue.2, pp.266-296, 2008.

W. Burnside, Theory of groups of finite order, 1897.

G. H. Duchamp, F. Hivert, and J. Thibon, NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS, International Journal of Algebra and Computation, vol.12, issue.05, pp.671-717, 2002.
DOI : 10.1142/S0218196702001139
URL : https://hal.archives-ouvertes.fr/hal-00622613

D. D. Gebhard and B. E. Sagan, A Chromatic Symmetric Function in Noncommuting Variables, Journal of Algebraic Combinatorics, vol.13, issue.3, pp.227-255, 2001.
DOI : 10.1023/A:1011258714032

G. H. Duchamp, J. Luque, K. A. Penson, and C. Tollu, Free quasi-symmetric functions, product actions and quantum field theory of partitions, Sém. Latter Comb, pp.12-54, 2007.

G. H. Duchamp, J. Luque, J. Novelli, C. Tollu, and F. Toumazet, HOPF ALGEBRAS OF DIAGRAMS, International Journal of Algebra and Computation, vol.21, issue.06, pp.1-2, 2011.
DOI : 10.1142/S0218196711006418
URL : https://hal.archives-ouvertes.fr/hal-00440925

F. G. Frobenius, Ueber die Congruenz nach einem aus zwei endlichen Gruppen gebildeten Doppelmodul, Crelle CI, p.288, 1887.

I. M. Gelfand, D. Krob, A. Lascoux, B. Leclerc, V. S. Retakh et al., Noncommutative Symmetrical Functions, Noncommutative symmetric functions, pp.218-348, 1995.
DOI : 10.1006/aima.1995.1032
URL : http://doi.org/10.1006/aima.1995.1032

F. Hivert, J. Novelli, and J. Thibon, Commutative combinatorial Hopf algebras, Journal of Algebraic Combinatorics, vol.29, issue.9, pp.65-95, 2008.
DOI : 10.1007/s10801-007-0077-0
URL : https://hal.archives-ouvertes.fr/hal-00484675

V. Krishnamurthy, Combinatorics, Theory and Applications, p.483, 1985.

A. Lascoux, Symmetric Functions and Combinatorial Operators on Polynomials, CBMS Regional Conference Series in Mathematics, vol.99, 2003.
DOI : 10.1090/cbms/099
URL : https://hal.archives-ouvertes.fr/hal-00622640

J. Loday and B. Valette, Algebraic Operads, Grundlehren der mathematishen Wissenschaften 364, 2012.

I. G. Macdonald, Symmetric functions and Hall polynomials, 1995.

J. Novelli, F. Patras, and J. Thibon, Natural endomorphisms of quasi-shuffle Hopf algebras, Bulletin de la Société mathématique de France, vol.141, issue.1
DOI : 10.24033/bsmf.2644
URL : https://hal.archives-ouvertes.fr/hal-00823090

G. Pólya, Kombinatorische Anzahlbestimmungen f??r Gruppen, Graphen und chemische Verbindungen, Acta Mathematica, vol.68, issue.0, pp.145-254, 1937.
DOI : 10.1007/BF02546665

J. H. Redfield, The Theory of Group-Reduced Distributions, American Journal of Mathematics, vol.49, issue.3, pp.433-455, 1927.
DOI : 10.2307/2370675

M. Rosas and B. Sagan, Symmetric functions in noncommuting variables, Transactions of the American Mathematical Society, vol.358, issue.1, pp.215-232, 2006.
DOI : 10.1090/S0002-9947-04-03623-2

N. J. Sloane, The On-Line Encyclopedia of Integer Sequences
DOI : 10.1007/978-3-540-73086-6_12