$(2,m,n)$-groups with Euler characteristic equal to $-2^as^b$

Nick Gill

Abstract


We study those $(2,m,n)$-groups which are almost simple and for which the absolute value of the Euler characteristic is a product of two prime powers. All such groups which are not isomorphic to $PSL_2(q)$ or $PGL_2(q)$ are completely classified.

Keywords


triangle groups, regular maps, almost simple groups, Euler characteristic

Full Text: PDF