Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on large automorphism groups of compact Riemann surfaces   Belolipetsky and Jones classified those compact Riemann surfaces of genus $g$
admitting a large group of automorphisms of order $\lambda (g-1)$, for each
$\lambda >6,$ under the assumption that $g-1$ is a prime number. In this
article we study the remaining large cases; namely, we classify Riemann
surfaces admitting $5(g-1)$ and $6(g-1)$ automorphisms, with $g-1$ a prime
number. As a consequence, we obtain the classification of Riemann surfaces
admitting a group of automorphisms of order $3(g-1)$, with $g-1$ a prime
number. We also provide isogeny decompositions of their Jacobian varieties.

19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th