In this paper the following is proved: If X is an infinite class of finite simple groups of Lie-type such that the corresponding set of Lie-ranks is unbounded, then free groups of rank at least 2 are residually X. This is proved by the construction of special 2-generators for the classical finite simple groups if the Lie-rank is large enough (≥ 5 · 2130). © 1993 Academic Press, Inc.
Weigel, T. (1993). Residual properties of free groups. JOURNAL OF ALGEBRA, 160(1), 16-41 [10.1006/jabr.1993.1175].
Residual properties of free groups
Weigel, TS
1993
Abstract
In this paper the following is proved: If X is an infinite class of finite simple groups of Lie-type such that the corresponding set of Lie-ranks is unbounded, then free groups of rank at least 2 are residually X. This is proved by the construction of special 2-generators for the classical finite simple groups if the Lie-rank is large enough (≥ 5 · 2130). © 1993 Academic Press, Inc.
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