Bordered and unbordered Klein surfaces with maximal symmetry



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Etayo Gordejuela, J. Javier and Pérez-Chirinos, C. (1986) Bordered and unbordered Klein surfaces with maximal symmetry. Journal of Pure and Applied Algebra , 42 (1). pp. 29-35. ISSN 0022-4049

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A compact Klein surface with boundary of algebraic genus g≥2 has at most 12(g−1) automorphisms. When a surface attains this bound we say that it has maximal symmetry, and the group of automorphisms is then an M group. In this paper we exhibit four new infinite families of M simple groups, and determine with the aid of a computer the groups PSL(n, q) of order less than 50,000 that are M groups. Using these results, we prove the existence of seven topologically different surfaces of algebraic genus 1013, all of them having maximal symmetry.

Item Type:Article
Uncontrolled Keywords:Klein surface; automorphism; maximal symmetry; ; simple group; computer-aided proof
Subjects:Sciences > Mathematics > Group Theory
ID Code:15753
Deposited On:25 Jun 2012 10:43
Last Modified:25 Jun 2012 10:43

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