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Families of Compact Riemann Surfaces with Automorphism Groups
Author(s) -
Cohen Jeffrey
Publication year - 1981
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-24.1.161
Subject(s) - mathematics , normal subgroup , automorphism , outer automorphism group , torsion (gastropod) , riemann hypothesis , pure mathematics , riemann surface , combinatorics , group (periodic table) , automorphism group , physics , biology , quantum mechanics , zoology
Let Γ be a cocompact Fuchsian group with torsion free normal subgroup N . An infinite family of subgroups of N normal in Γ is obtained and used to state a result about factors of Γ and also to show that no bound exists for the number of normal subgroups of Γ of fixed index.
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