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  • Affine transformations of finite vector spaces with large orders or few cycles
    Guest, Simon ...
    Let ▫$V$▫ be a ▫$d$▫-dimensional vector space over a field of prime order ▫$p$▫. The first aim of this paper is to determine the affine transformations of a vector space of size ▫$n$▫ which have ... order at least ▫$n/4$▫, and the affine primitive groups in which they lie. The authors classify the affine transformations of ▫$V$▫ of order at least ▫$p^d/4$▫, and apply this classification to determine the finite primitive permutation groups of affine type, and of degree ▫$n$▫, that contain a permutation of order at least ▫$n/4$▫. Using this result they obtain a classification of finite primitive permutation groups of affine type containing a permutation with at most four cycles.
    Source: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 219, iss. 2, Feb. 2015, str. 308-330)
    Type of material - article, component part ; adult, serious
    Publish date - 2015
    Language - english
    COBISS.SI-ID - 18658649

    Link(s):

    https://doi.org/10.1016/j.jpaa.2014.04.023
    DOI

source: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 219, iss. 2, Feb. 2015, str. 308-330)
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