In this paper we want to prove the following theorem: Let x be an infinite set of non-abelian finite simple groups. Then the free group F2 on 2 generators is residually x. This answers a question first posed by W. Magnus and later by A. Lubotzky [9], Yu. Gorchakov and V. Levchuk [4]
Weigel, T. (1992). Residual properties of free groups. III. ISRAEL JOURNAL OF MATHEMATICS, 77(1-2), 65-81 [10.1007/BF02808011].
Residual properties of free groups. III
Weigel, TS
1992
Abstract
In this paper we want to prove the following theorem: Let x be an infinite set of non-abelian finite simple groups. Then the free group F2 on 2 generators is residually x. This answers a question first posed by W. Magnus and later by A. Lubotzky [9], Yu. Gorchakov and V. Levchuk [4]
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