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NON-FREE POINTS FOR GROUPS GENERATED BY A PAIR OF 2 × 2 MATRICES

Published online by Cambridge University Press:  13 February 2001

JOHN BAMBERG
JOHN BAMBERG
Affiliation:
School of Mathematics, La Trobe University, Melbourne, Australia 3083; [email protected]
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Abstract

A point λ in the complex plane is said to be free if the group generated by the matrices

formula here

is free. The paper gives an infinite family of polynomials whose roots are the non-free points. The main idea in the paper is to employ a symmetry relation.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 795 - 801
Copyright
The London Mathematical Society 2000

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