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Turkish Journal of Mathematics

Abstract

We study the involution of the real line, induced by Dyer's outer automorphism of PGL(2,Z). It is continuous at irrationals with jump discontinuities at rationals. We prove that its derivative exists almost everywhere and vanishes almost everywhere.

DOI

10.3906/mat-1903-34

Keywords

Involution, PGL, projective general linear group, continued fraction, derivative, discontinuity

First Page

1770

Last Page

1775

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