The collineation groups of generalized twisted field planes (Q1297643)

From MaRDI portal





scientific article; zbMATH DE number 1335237
Language Label Description Also known as
English
The collineation groups of generalized twisted field planes
scientific article; zbMATH DE number 1335237

    Statements

    The collineation groups of generalized twisted field planes (English)
    0 references
    0 references
    0 references
    0 references
    3 January 2000
    0 references
    This paper discusses certain aspects of generalized twisted field planes. Autotopisms are investigated; in particular the authors consider the case where the autotopism group acts transitively on the nonvertex points of one or more sides of the autotopism triangle. Furthermore, isotopisms of generalized twisted fields are studied. Necessary and sufficient conditions are given as to when a generalized twisted field plane is self-dual or contains a polarity. These results can be used to improve some results concerning semifield planes.
    0 references
    0 references
    generalized twisted field planes
    0 references
    autotopism group
    0 references
    self-dual
    0 references
    polarity
    0 references
    semifield planes
    0 references

    Identifiers