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Hurwitz's automorphisms theorem and Schwarz triangle

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Hurwitz's automorphisms theorem and Schwarz triangle

Hurwitz's automorphisms theorem vs. Schwarz triangle

In mathematics, Hurwitz's automorphisms theorem bounds the order of the group of automorphisms, via orientation-preserving conformal mappings, of a compact Riemann surface of genus g > 1, stating that the number of such automorphisms cannot exceed 84(g − 1). In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere, possibly overlapping, through reflections in its edges.

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

(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 · See more »

The list above answers the following questions

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

This article shows the relationship between Hurwitz's automorphisms theorem and Schwarz triangle. To access each article from which the information was extracted, please visit:

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