# On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces

On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces In this paper we give a few discrete versions of Robert Accola’s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for $$\gamma$$ γ -hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one $$\gamma$$ γ -hyperelliptic involution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

# On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces

, Volume 7 (3) – Jul 25, 2016
11 pages

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-016-0138-4
Publisher site
See Article on Publisher Site

### Abstract

In this paper we give a few discrete versions of Robert Accola’s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for $$\gamma$$ γ -hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one $$\gamma$$ γ -hyperelliptic involution.

### Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Jul 25, 2016