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Some remarks on an article of F. S. Cater - MaRDI portal

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Some remarks on an article of F. S. Cater (Q804943)

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scientific article; zbMATH DE number 4203150
Language Label Description Also known as
English
Some remarks on an article of F. S. Cater
scientific article; zbMATH DE number 4203150

    Statements

    title
    Some remarks on an article of F. S. Cater (English)
    0 references
    publication date
    1990
    0 references
    review text
    \textit{F. S. Cater} [Linear Algebra Appl. 19, 251-274 (1978; Zbl 0369.15006)] zeigte, daß jede Projektivität einer desarguesschen projektiven Ebene Produkt von höchstens vier zentralen Kollineationen mit Achsen und Zentren auf einem gegebenen Dreieck ist; ferner gab er notwendige und hinreichenden Bedingungen dafür an, daß eine Projektivität Produkt von weniger als vier Kollineationen dieser Art ist. Er bewies diese mit analytischen Methoden. Verf. brachte rein synthetische Beweise dieser Eigenschaften.
    0 references
    zbMATH Keywords
    projectivities
    0 references
    desarguesian projective plane
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    decomposition of projective transformations into central collineations with given axes or poles
    0 references

    Identifiers

    DOI
    10.1007/BF01222149
    0 references
    zbMATH DE Number
    4203150
    0 references
     
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