Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2021; 36(4): 829-833

Online first article February 26, 2021      Printed October 31, 2021

https://doi.org/10.4134/CKMS.c200380

Copyright © The Korean Mathematical Society.

The action of special linear group on the set of mutually distinct triple points of circle and invariant measure

Sanghoon Kwon

Catholic Kwandong University

Abstract

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We investigate the M\"{o}bius transformation action of \linebreak $PSL(2,\mathbb{R})$ on the set of mutually distinct ordered triple points of $\mathbb{R}\cup\{\infty\}$.

Keywords: Upper-half plane, invariant measure, projective frame

MSC numbers: Primary 37E35; Secondary 28D05

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