Symmetry of surfaces for linear fractional group

Abstract: We will compute the stable upper genus for the family of finite non-abelian simple groups

P S L_{2} (m a t h b b F_{p})

for

p e q u i v 3 (m o d 4)

. This classification is well-grounded in the other branches of Mathematics like topology, smooth, and conformal geometry, algebraic categories.

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