Lesson plan
MacBeath surface
In Riemann surface theory and hyperbolic geometry, the MacBeath surface, also called MacBeath curve or the Fricke–MacBeath surface curve, is the genus-7 Hurwitz surface. It is named for Murray MacBeath. The automorphism group of the MacBeath surface is the simple group PSL(2,8), consisting of 504 symmetries.
Article summary
In Riemann surface theory and hyperbolic geometry, the MacBeath surface, also called MacBeath curve or the Fricke–MacBeath surface curve, is the genus-7 Hurwitz surface. It is named for Murray MacBeath. The automorphism group of the MacBeath surface is the simple group PSL(2,8), consisting of 504 symmetries.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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