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  1. TitleOn discrete versions of two Accola´s theorems about automorphism groups of Riemann surfaces
    Author infoMaxim Limonov, Roman Nedela, Alexander Mednykh
    Author Limonov Maksim (33%)
    Co-authors Nedela Roman 1960- (34%) UMBFP05 - Katedra informatiky
    Mednykh Alexander 1953- (33%)
    Source document Analysis and Mathematical Physics. Vol. 7, no. 3 (2017), pp. 233-243. - Cham : Springer Nature Switzerland AG, 2017
    Keywords Riemanove plochy - Riemann surfaces   grafy - charts - graphs   automorphism groups   hyperelliptic graphs   hyperelliptic involutions   harmonic maps  
    LanguageEnglish
    CountrySwitzerland
    systematics 51
    AnnotationIn this paper we give a few discrete versions of Robert Accola’s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for γ-hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one γ-hyperelliptic involution.
    Public work category ADC
    No. of Archival Copy41751
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised

  2. TitleQuadrangle groups inclusions
    Author infoAntónio Breda d’Azevedo... [et al.]
    Author Breda d'Azevedo Antonio (10%)
    Co-authors Catalano Domenico A. (10%)
    Karabáš Ján 1977- (40%) UMBFP05 - Katedra informatiky
    Nedela Roman 1960- (40%) UMBFP05 - Katedra informatiky
    Source document Beiträge zur Algebra und Geometrie. Vol. 58, no. 2 (2017), pp. 369-394. - Heidelberg : Springer-Verlag, 2017
    Keywords Fuchsian groups   Riemanove plochy - Riemann surfaces   triangle group   dessin d’enfant   generalized quadrangle groups  
    LanguageEnglish
    CountryGermany
    systematics 51
    Annotation© 2016, The Managing Editors. In this paper we generalise Singerman’s results on triangle group inclusions to the broader class of generalised quadrangle groups, that is, Fuchsian groups with signature of genus 0 and generated by three or four elliptic generators. For any possible inclusion P < Q we also give the number of non-conjugate subgroups of Q isomorphic to P.
    Public work category ADM
    No. of Archival Copy40854
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised

  3. TitleChiral maps of given hyperbolic type
    Author infoMarston D. E. Conder ... [et al.]
    Author Conder Marston D. E. (25%)
    Co-authors Hucíková Veronika (25%)
    Nedela Roman 1960- (25%) UMBFP05 - Katedra informatiky
    Širáň Jozef (25%)
    Source document Bulletin of the London Mathematical Society. Vol. 48, no. 1 (2016), pp. 38-52. - Oxford : Oxford University Press, 2016
    Keywords pravidelné mapy   regular maps   Riemannove variety - Riemannian manifolds   Riemanove plochy - Riemann surfaces   hypermapy   hypermaps  
    LanguageEnglish
    CountryGreat Britian
    systematics 51
    Public work category ADC
    No. of Archival Copy36694
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised

  4. TitleDiscrete group actions on Riemann surfaces: construction, classification and applications
    Author infoJán Karabáš, Roman Nedela
    Author Karabáš Ján 1977- (50%) UMBFP12 - Inštitút matematiky a informatiky
    Co-authors Nedela Roman 1960- (50%) UMBFP12 - Inštitút matematiky a informatiky
    Source document GEMS 2013 : abstracts, 15-19 July 2013, Smolenice, Slovakia. S. 19-20. - Banská Bystrica : Univerzita Mateja Bela, 2013 / Škoviera Martin ; GEMS 2013
    Keywords Riemanove plochy - Riemann surfaces   classification  
    LanguageEnglish
    CountrySlovak Republic
    systematics 51
    Public work category AFG
    No. of Archival Copy26581
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ


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