Copy For Citation
ULUDAĞ A. M., Ayral H.
TURKISH JOURNAL OF MATHEMATICS, vol.43, no.3, pp.1770-1775, 2019 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
43
Issue:
3
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Publication Date:
2019
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Doi Number:
10.3906/mat-1903-34
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Journal Name:
TURKISH JOURNAL OF MATHEMATICS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
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Page Numbers:
pp.1770-1775
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Keywords:
Involution, PGL, projective general linear group, continued fraction, derivative, discontinuity
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Galatasaray University Affiliated:
Yes
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.