Ates F.Cangul I.N.Cetinalp E.K.Cevik A.S.Karpuz E.G.2020-03-262020-03-2620161935-0090https://dx.doi.org/10.18576/amis/100238https://hdl.handle.net/20.500.12395/34297In this paper the commutator subgroups of the affine Weyl group of type Cn-1 (n ? 3) and the triangle Coxeter groups are studied. Also it is given all power subgroups of the affine Weyl group of type Ãn-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 Painlevé equations (cf. [16]). © 2016 NSP.en10.18576/amis/100238info:eu-repo/semantics/closedAccessCommutator subgroupCoxeter groupPower subgroupReidemeister-SchreierArticle102777783Q4