FMF, Mathematical Library, Lj. (MAKLJ)
  • On the number of derangements and derangements of prime power order of the affine general linear groups
    Spiga, Pablo, 1977-
    A derangement is a permutation that has no fixed points. In this paper, we are interested in the proportion of derangements of the finite affine general linear groups. We prove a remarkably simple ... and explicit formula for this proportion. We also give a formula for the proportion of derangements of prime power order. Both formulae rely on a result of independent interest on partitions: we determine the generating function for the partitions with ▫$m$▫ parts and with the ▫$k$▫th largest part not ▫$k$▫, for every ▫$k in \mathbb {N}$▫.
    Source: Journal of algebraic combinatorics. - ISSN 0925-9899 (Vol. 45, iss. 2, Mar. 2017, str. 345-362)
    Type of material - article, component part ; adult, serious
    Publish date - 2017
    Language - english
    COBISS.SI-ID - 18637913

    Link(s):

    https://doi.org/10.1007/s10801-016-0709-3
    DOI

source: Journal of algebraic combinatorics. - ISSN 0925-9899 (Vol. 45, iss. 2, Mar. 2017, str. 345-362)

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