Geodesic
Exponent matrices and topological equivalence of maps
Algebra and discrete mathematics, no. 4 (2007), pp. 45-58.

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Conjugate classes of continuous maps of the interval $[0,\,1]$ into itself, whose iterations form a finite group are described. For each of possible groups of iterations one to one correspondence between conjugate classes of maps and equivalent classes of $(0,\,1)$-exponent matrices of special form is constructed. Easy way of finding the quiver of the map in terms of the set of its extrema is found.
Keywords: exponent matrix, finite orbits, topological equivalence. 
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     title = {Exponent matrices and topological equivalence of maps},
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     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_4_a4/}
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Volodymyr Fedorenko; Volodymyr Kirichenko; Makar Plakhotnyk. Exponent matrices and topological equivalence of maps. Algebra and discrete mathematics, no. 4 (2007), pp. 45-58. http://geodesic.mathdoc.fr/item/ADM_2007_4_a4/