Narodna in univerzitetna knjižnica, Ljubljana (NUK)
Naročanje gradiva za izposojo na dom
Naročanje gradiva za izposojo v čitalnice
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  • Riemann surfaces and restrictively-marked hypermaps
    D'Azevedo, Antonio Breda
    If ▫$\mathcal{S}$▫ is a compact Riemann surface of genus ▫$g > 1$▫, then ▫$\mathcal{S}$▫ has at most ▫$84(g - 1)$▫ (orientation preserving) automorphisms (Hurwitz). On the other hand, if ▫$G$▫ is a ... group of automorphisms of ▫$\mathcal{S}$▫ and ▫$\vert G \vert > 24(g - 1)$▫ then ▫$G$▫ is the automorphism group of a regular oriented map (of genus ▫$g$▫) and if ▫$\vert G \vert > 12(g - 1)$▫ then ▫$G$▫ is the automorphism group of a regular oriented hypermap of genus ▫$g$▫ (Singerman). We generalise these results and prove that if ▫$\vert G \vert > g - 1$▫ then ▫$G$▫ is the automorphism group of a regular restrictedly-marked hypermap of genus ▫$g$▫. As a special case we also show that a marked finite transitive permutation group (Singerman) is a restrictedly-marked hypermap with the same genus.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 3, no. 1, 2010, str. 87-98)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 15564889

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 3, no. 1, 2010, str. 87-98)

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