J. Byszewski, G. Graff and T. Ward, Dold sequences, periodic points, and dynamics, arXiv:2007.04031.

L.E. Dickson, History of the Theory of Numbers, Vol. I: Divisibility and Primality, Carnegie Inst., Washington, 1919.

M. Mazur and B.V. Petrenko, Generalizations of Arnold’s version of Euler’s theorem for matrices, Japan. J. Math. 5 (2010), 183–189.

T. Schönemann, Theorie der symmetrischen Functionen der Wurzeln einer Gleichung. Allgemeine Sätze über Congruenzen nebst einigen Anwendungen derselben, J. Reine Angew. Math. 19 (1839), 289–308.

C.J. Smyth, A coloring proof of a generalisation of Fermat’s little theorem, Amer. Math. Monthly 93 (1986), 469–471.

H. Steinlein, Fermat’s little theorem and Gauss congruence: matrix versions and cyclic permutations, Amer. Math. Monthly 124 (2017), 548–553.

D.B. West, Introduction to Graph Theory, 2nd ed., Prentice Hall, Upper Saddle River, New Jersey, 2001.

A.V. Zarelua, On congruences for the traces of powers of some matrices, Tr. Mat. Inst. Steklova 263 (Geometriya, Topologiya i Matematicheskaya Fizika, I) (2008), 85–105 (in Russian); English transl.: Proc. Steklov Inst. Math. 263 (2008), 78–98.