Citation
Ga. Jones et Sa. Silver, SUZUKI GROUPS AND SURFACES, Journal of the London Mathematical Society, 48, 1993, pp. 117-125
Citations number
25
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00246107
Volume
48
Year of publication
1993
Part
1
Pages
117 - 125
Database
ISI
SICI code
0024-6107(1993)48:<117:SGAS>2.0.ZU;2-X
Abstract
We show that the least genus of any compact Riemann surface S, admitti
ng a simple Suzuki group G = Sz(q) as a group of automorphisms, is equ
al to 1 + Absolute value of G/40. We compute the number of such surfac
es S as the number of normal subgroups of the triangle group DELTA(2,4
,5) with quotient-group G, and investigate the associated regular maps
of type {4,5}.