Alternating Quotients of Fuchsian Groups


It all started with a theorem of Miller [14]: the classical modular group PSL2Z‘ has among its homomorphic images every alternating group, except A6; A7; and A8. In the late 1960s Graham Higman conjectured that any (finitely generated non-elementary) Fuchsian group has among its homomorphic images all but finitely many of the alternating groups. This… (More)


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