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Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 73 - Number 5 |
| Year of Publication: 2013 |
| Authors: Chandra Chutia, Moloya Bhuyan, Rafiqul Islam |
10.5120/12739-9629
|
Chandra Chutia, Moloya Bhuyan, Rafiqul Islam . Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface. International Journal of Computer Applications. 73, 5 ( July 2013), 31-32. DOI=10.5120/12739-9629
Abstract
In this paper the authors have considered the molecule C_6 H_12 (the cyclohexane) and then constructed the group of symmetries of C_6 H_12 which is a group of order 4. Then they proved that the bounds of the order of symmetry group of Automorphisms of compact Riemann surfaces on which the symmetry group of C_6 H_12 acts as a group of Automorphism is 4(g-1) where g (?2) , the genus of the corresponding Riemann surface and the corresponding minimum genu g=2 and associated Fuchsian group has signature ?( 2,2,2,2,2) 1991 Mathematics Subject classification -20B30,57M25,05C10,20H10,30F10.
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