Arithmetic Fuchsian groups and the number of systoles

DOI10.1007/BF02621586zbMath0867.30032OpenAlexW2051739787WikidataQ126264245 ScholiaQ126264245MaRDI QIDQ2365044

Paul Schmutz Schaller

Publication date: 20 July 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174908

zbMATH Keywords

geodesicsystolesarithmetic Fuchsian groups

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (6)

Congruence subgroups and maximal Riemann surfaces ⋮ Systoles on Riemann surfaces ⋮ Systoles of arithmetic surfaces and Markoff spectrum ⋮ Compact Riemann surfaces with many systoles ⋮ Hyperbolic manifolds with a large number of systoles ⋮ Hyperbolic 3-manifolds with large kissing number

Cites Work

• Riemann surfaces with shortest geodesic of maximal length
• Congruence subgroups and maximal Riemann surfaces
• Products of conjugacy classes in groups
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