Similarities between Hurwitz's automorphisms theorem and Schwarz triangle
Hurwitz's automorphisms theorem and Schwarz triangle have 7 things in common (in Unionpedia): Bolza surface, Klein quartic, PSL(2,7), Riemann surface, Tessellation, Wythoff construction, (2,3,7) triangle group.
Bolza surface
In mathematics, the Bolza surface, alternatively, complex algebraic Bolza curve (introduced by), is a compact Riemann surface of genus 2 with the highest possible order of the conformal automorphism group in this genus, namely GL2(3) of order 48.
Bolza surface and Hurwitz's automorphisms theorem · Bolza surface and Schwarz triangle ·
Klein quartic
In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus with the highest possible order automorphism group for this genus, namely order orientation-preserving automorphisms, and automorphisms if orientation may be reversed.
Hurwitz's automorphisms theorem and Klein quartic · Klein quartic and Schwarz triangle ·
PSL(2,7)
In mathematics, the projective special linear group PSL(2, 7) (isomorphic to GL(3, 2)) is a finite simple group that has important applications in algebra, geometry, and number theory.
Hurwitz's automorphisms theorem and PSL(2,7) · PSL(2,7) and Schwarz triangle ·
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
Hurwitz's automorphisms theorem and Riemann surface · Riemann surface and Schwarz triangle ·
Tessellation
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.
Hurwitz's automorphisms theorem and Tessellation · Schwarz triangle and Tessellation ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Hurwitz's automorphisms theorem and Wythoff construction · Schwarz triangle and Wythoff construction ·
(2,3,7) triangle group
In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important.
(2,3,7) triangle group and Hurwitz's automorphisms theorem · (2,3,7) triangle group and Schwarz triangle ·
The list above answers the following questions
- What Hurwitz's automorphisms theorem and Schwarz triangle have in common
- What are the similarities between Hurwitz's automorphisms theorem and Schwarz triangle
Hurwitz's automorphisms theorem and Schwarz triangle Comparison
Hurwitz's automorphisms theorem has 53 relations, while Schwarz triangle has 39. As they have in common 7, the Jaccard index is 7.61% = 7 / (53 + 39).
References
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