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    NázovDecomposition of skew-morphisms of cyclic groups
    Aut.údajeIstván Kovács, Roman Nedela
    Autor Kovács István (50%)
    Spoluautori Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
    Zdroj.dok. Ars Mathematica Contemporanea. Vol. 4, no. 2 (2011), pp. 329-349. - Koper : Univerza na Primorskem, 2011
    Kľúč.slová skew-morphisms   product of cyclic groups   decomposition  
    Jazyk dok.angličtina
    KrajinaSlovinsko
    Systematika 51
    AnotáciaA skew-morphism of a group H is a permutation a of its elements fixing the identity such that for every x, y is an element of H there exists an integer k such that sigma(xy) = sigma(x)a(k)(y). It follows that group automorphisms are particular skew-morphisms. Skew-morphisms appear naturally in investigations of maps on surfaces with high degree of symmetry, namely, they are closely related to regular Cayley maps and to regular embeddings of the complete bipartite graphs. The aim of this paper is to investigate skew-morphisms of cyclic groups in the context of the associated Schur rings. We prove the following decomposition theorem about skew-morphisms of cyclic groups Z(n) : if n = n(1)n(2) such that (n(1), n(2)) = 1, and (n(1), phi(n(2))) = (phi(n(1)), n(2)) = 1 (phi denotes Euler's function) then all skew-morphisms sigma of Z(n) are obtained as sigma = sigma(1) x sigma(2), where sigma(i) are skew-morphisms of Z(ni) i = 1, 2. As a consequence we obtain the following result: All skew-m [...]
    Kategória publikačnej činnosti ADC
    Číslo archívnej kópie20294
    Katal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
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    NázovInterpreting
    Podnázovinternational Journal of Research and Practice in Interpreting
    Vyd.údajeAmsterdam (Holandsko) : John Benjamins Publishing Company , 2022
    ISSN1384-6647
    Roč., čísloVol. 24 no. 1 - 2 (2022)
    Periodicitapolročník
    Jazyk dok.angličtina
    KrajinaHolandsko
    Systematika 06.053.56
    347.78.034
    655.3.066.13
    Katal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Báza dátxzrp - PERIODIKÁ - Zviazaný ročník periodika
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    392097Univerzita Mateja BelaUK Univerzálna študovňanedostupný

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