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