ON DETERMINATION OF THE MINIMUM GENUS OF COMPACT RIEMANN SURFACES ADMITTING A CLASS OF METACYCLIC AUTOMORPHISM GROUPS

Kuntala Patra; Dipankar Sarma

Kuntala Patra Department of Mathematics Gauhati University, Guwahati-781014, India

Dipankar Sarma Department of Mathematics Jawaharlal Nehru College, Boko-781123, India

Volume 6, Issue 1 Pages 27-42 December 12, 2007 206 downloads

Article overview

Abstract

Every finite group can be represented as a group of automorphisms of a compact Riemann surface of genus g ≥ 2. It is of interest to determine the minimum genus of the Riemann surface on which a given finite group acts as a group of automorphisms.

Keywords and Phrases

Riemann surfaceFuchsian groupautomorphismepimorphismsmooth quotientmetacyclic groupgenus.

AMS Subject Classification

29H10, 30F35.

Reference information

How to Cite

Kuntala Patra, Dipankar Sarma (2007). ON DETERMINATION OF THE MINIMUM GENUS OF COMPACT RIEMANN SURFACES ADMITTING A CLASS OF METACYCLIC AUTOMORPHISM GROUPS. South East Asian Journal of Mathematics and Mathematical Sciences, 6(1), 27-42.

Back to this issue