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. ).
Digital Object Identifier (DOI)
Ates, Firat; Naci Cangul, I.; K. Cetinalp, Esra; Sinan Cevik, A.; and Guzel Karpuz, Eylem
"On Commutator and Power Subgroups of Some Coxeter Groups,"
Applied Mathematics & Information Sciences: Vol. 10:
2, Article 38.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/38