- Turkish Journal of Mathematics
- Vol: 24 Issue: 2
- Conjugacy Classes of Elliptic Elements in the Picard Group
Conjugacy Classes of Elliptic Elements in the Picard Group
Authors : Nihal Yilmaz, Ü. Naci Cangül
Pages : 209-220
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and 3 in \mathbf{P}, which is given as seven by B. Fine \left[ 3\right] , can actually be reduced to four and using this, the conditions for the maximal Fuchsian subgroups of \mathbf{P} to have elliptic elements of orders 2 and 3 are found.Keywords : Turk. J. Math., 24, (2000), 209-220. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.24, iss.2.