Composites of translations and odd rational powers act freely

It is shown that no non-trivial composition of translations x ↦ x + a and odd rational powers x ↦p/q, where p,q are odd co-prime integers, positive or negative with p/q≠±, acts like the identity on a field of characteristic zero. This extends a theorem of Adeleke, Glass, and Morley in which only odd...

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Veröffentlicht in:	Bulletin of the Australian Mathematical Society 1995-02, Vol.51 (1), p.73-81
Hauptverfasser:	Cohen, Stephen D., Glass, A.M.W.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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