MODULAR GROUP IMAGES ARISING FROM DRINFELD DOUBLES OF DIHEDRAL GROUPS

Deepak NAIDU

doi:https://doi.org/10.24330/ieja.768210

Makale detayları

MODULAR GROUP IMAGES ARISING FROM DRINFELD DOUBLES OF DIHEDRAL GROUPS

Yazarlar:

Deepak NAIDU

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2020 Vol.28 Issue 28, pp.156-174

Belge Tipi:

Makale

Yayın Tarihi:

7/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000717880

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.768210

Özet:

 

We show that the image of the representation of the modular group \SL(2,\Z)\SL(2,\Z)\SL(2, \Z) arising from the representation category \Rep(D(G))\Rep(D(G))\Rep(D(G)) of the Drinfeld double D(G)D(G)D(G)
is isomorphic to the group \PSL(2,\Zn)×S3\PSL(2,\Zn)×S3\PSL(2, \Zn) \times S_3, when GGG is either the dihedral group of order 2n2n2n or the dihedral group of order 4n4n4n for some odd integer n≥3n≥3n \geq 3.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.

Makale detayları

MODULAR GROUP IMAGES ARISING FROM DRINFELD DOUBLES OF DIHEDRAL GROUPS

Yazarlar: Deepak NAIDU

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2020 Vol.28 Issue 28, pp.156-174

Belge Tipi: Makale

Yayın Tarihi: 7/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000717880

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.768210

Sayı

Yazarlar:

Deepak NAIDU

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2020 Vol.28 Issue 28, pp.156-174

Belge Tipi:

Makale

Yayın Tarihi:

7/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000717880

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.768210