On Commutator and Power Subgroups of Some Coxeter Groups

Authors

Firat Ates, Faculty of Art and Science, Department of Mathematics, Balikesir University, 10100, Balikesir, TurkeyFollow
I. Naci Cangul, Faculty of Art and Sciences, Department of Mathematics, Uludag University, 16059, Bursa-TurkeyFollow
Esra K. Cetinalp, Kamil ?zdag Science Faculty, Department of Mathematics, Karamanoglu Mehmetbey University, 70100, Karaman-TurkeyFollow
A. Sinan Cevik, Faculty of Science, Department of Mathematics, Selc¸uk University, 42075, Konya-TurkeyFollow
Eylem Guzel Karpuz, Kamil ?zdag Science Faculty, Department of Mathematics, Karamanoglu Mehmetbey University, 70100, Karaman-TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

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]).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100238

Recommended Citation

Ates, Firat; Naci Cangul, I.; K. Cetinalp, Esra; Sinan Cevik, A.; and Guzel Karpuz, Eylem (2016) "On Commutator and Power Subgroups of Some Coxeter Groups," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 38.
DOI: http://dx.doi.org/10.18576/amis/100238
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/38