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Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface

by Chandra Chutia, Moloya Bhuyan, Rafiqul Islam
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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

@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 },
issue_date = { July 2013 },
volume = { 73 },
number = { 5 },
month = { July },
year = { 2013 },
issn = { 0975-8887 },
pages = { 31-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume73/number5/12739-9629/ },
doi = { 10.5120/12739-9629 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:39:17.999523+05:30
%A Chandra Chutia
%A Moloya Bhuyan
%A Rafiqul Islam
%T Bounds for the Order of Symmetry Group of Automorphism of Compact Riemann Surface
%J International Journal of Computer Applications
%@ 0975-8887
%V 73
%N 5
%P 31-32
%D 2013
%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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Index Terms

Computer Science
Information Sciences

Keywords

point group symmetry Fuchsian group smooth quotient Riemann surface Automorphism group Genus

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