Roots for a family of transformations

Daniel Berend

doi:10.1016/0019-3577(94)90028-0

Roots for a family of transformations

Daniel Berend

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For which integers a does the transformation x → ax of the group R/Z admit a square root? A full answer is given within the category of all transformations of R/Z, that of algebraic endomorphisms and that of continuous functions.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Indagationes Mathematicae
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0019-3577(94)90028-0
State	Published - 1 Jan 1994

ASJC Scopus subject areas

General Mathematics

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title = "Roots for a family of transformations",

abstract = "For which integers a does the transformation x → ax of the group R/Z admit a square root? A full answer is given within the category of all transformations of R/Z, that of algebraic endomorphisms and that of continuous functions.",

author = "Daniel Berend",

note = "Funding Information: * Research supported in part by NSF Grant 1980 Mathematics Subject Classzjications OSA35, 20F28, 20F38.",

year = "1994",

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Roots for a family of transformations

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