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On Commutator and Power Subgroups of Some Coxeter Groups |
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PP: 777-783 |
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doi:10.18576/amis/100238
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Author(s) |
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Firat Ates,
I. Naci Cangul,
Esra K. Cetinalp,
A. Sinan Cevik,
Eylem Guzel Karpuz,
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Abstract |
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| 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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