Free Products in Linear Groups


Let R be a commutative integral domain of characteristic 0, and let G be a finite subgroup of PGLn(R), the projective general linear group of degree n over R. In this note, we show that if n ≥ 2, then PGLn(R) also contains the free product G ∗ T , where T is the infinite cyclic group generated by the image of a suitable transvection.

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@inproceedings{PassmanFreePI, title={Free Products in Linear Groups}, author={Don Passman} }