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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 10 > No. 2


On Commutator and Power Subgroups of Some Coxeter Groups

PP: 777-783
Firat Ates, I. Naci Cangul, Esra K. Cetinalp, A. Sinan Cevik, Eylem Guzel Karpuz,
In this paper the commutator subgroups of the affine Weyl group of type e C n−1 (n ≥ 3) and the triangle Coxeter groups are studied. Also it is given all power subgroups of the affine Weyl group of type e A n−1 (n ≥ 3). We should note that, as in our knowledge, although the concept of this study seems in pure mathematics, it is known that affine Weyl groups have a direct relationship between discrete dynamical systems and Painlev´e equations (cf. [16]).

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