# Examples of plane rational curves with two Galois points in positive   characteristic

**Authors:** Satoru Fukasawa, Katsushi Waki

arXiv: 1704.01269 · 2021-03-04

## TL;DR

This paper introduces four new examples of plane rational curves with two Galois points in positive characteristic and analyzes their Galois points, contributing to the understanding of their relation to projective linear groups.

## Contribution

It provides new explicit examples of plane rational curves with two Galois points in positive characteristic and investigates their Galois points, advancing the study of their algebraic properties.

## Key findings

- Four new examples of plane rational curves with two Galois points
- Determination of the number of Galois points for three examples
- Insights into the relation between Galois points and projective linear groups

## Abstract

We present four new examples of plane rational curves with two Galois points in positive characteristic, and determine the number of Galois points for three of them. Our results are related to a problem on projective linear groups.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1704.01269/full.md

## References

8 references — full list in the complete paper: https://tomesphere.com/paper/1704.01269/full.md

---
Source: https://tomesphere.com/paper/1704.01269