Back to Search Start Over

Existence of Smooth Epimorphism from Fuchsian Group to the Group of Automorphisms of compact Riemann surface to the point group of Carbon Tetrachloride.

Authors :
BHUYAN, MOLOYA
CHUTIA, CHANDRA
Source :
Journal of Ultra Scientist of Physical Sciences - Section A (Mathematics). 2020, Vol. 32 Issue 3, p13-21. 9p.
Publication Year :
2020

Abstract

A finite group G acts as a group of automorphisms on a compact Riemann surface S of genus g if and only if there exist a Fuchsian group Φ and an epimorphism Φ: Γ→G such that kerΦ = K is a surface group of genus g. And then Φ is named as smooth homomorphism. The objective of this paper is to establish a set of necessary and sufficient conditions for the existence of smooth epimorphism from a Fuchsian group to the finite group of symmetries of Carbon Tetra chloride molecule, whose abstract group representation is a,b|a4= b3=(ab)2?. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
2231346X
Volume :
32
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Ultra Scientist of Physical Sciences - Section A (Mathematics)
Publication Type :
Academic Journal
Accession number :
144232939
Full Text :
https://doi.org/10.22147/jusps-A/320301