Vol. 43, No. 3, 1972

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Residual properties of free groups

Stephen James Pride

Vol. 43 (1972), No. 3, 725–733
Abstract

In this paper the following theorem is proved: if π is an infinite set of primes and n is an odd integer greater than one, then free groups are residually {PSL(n,p);p π}. As a by-product of the proof new generators of SL(n,p) are obtained for nearly all primes p.

Mathematical Subject Classification 2000
Primary: 20E05
Milestones
Received: 23 September 1971
Published: 1 December 1972
Authors
Stephen James Pride