Research Article
Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 73 - Issue 5 |
| Published: July 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
@article{ 10.5120/12739-9629,
author = { Chandra Chutia,Moloya Bhuyan,Rafiqul Islam },
title = { Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 73 },
number = { 5 },
pages = { 31-32 },
doi = { 10.5120/12739-9629 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Chandra Chutia
%A Moloya Bhuyan
%A Rafiqul Islam
%T Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface%T
%J International Journal of Computer Applications
%V 73
%N 5
%P 31-32
%R 10.5120/12739-9629
%I Foundation of Computer Science (FCS), NY, USA
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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