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There is a Group of Every Strong Symmetric Genus
Author(s) -
May Coy L.,
Zimmerman Jay
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303001954
Subject(s) - mathematics , genus , combinatorics , group (periodic table) , riemann surface , integer (computer science) , pure mathematics , zoology , physics , biology , quantum mechanics , computer science , programming language
Let G be a finite group. The strong symmetric genus σ 0 ( G ) is the minimum genus of any Riemann surface on which G acts, preserving orientation. For any non‐negative integer g , there is at least one group of strong symmetric genus g . For g ≠2, one such group has the form Z k × D n for some k and n . 2000 Mathematics Subject Classification 57M60 (primary), 20H10, 30F99 (secondary).
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