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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 446, Pages 100–121 (Mi znsl6285)  

Highly symmetric maps on surfaces with boundary

G. A. Jones

School of Mathematics, University of Southampton, Southampton SO17 1BJ, U.K.
References:
Abstract: The regular maps and the arc-transitive maps on surfaces with non-empty boundary are classified. It is shown that it is unrealistic to expect a similar classification of edge-transitive maps on such surfaces.
Key words and phrases: regular map, boundary, arc-transitive, edge-transitive, automorphism group.
Received: 26.08.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 226, Issue 5, Pages 608–622
DOI: https://doi.org/10.1007/s10958-017-3553-7
Bibliographic databases:
Document Type: Article
UDC: 519.175.1+519.146+515.162.6
Language: English
Citation: G. A. Jones, “Highly symmetric maps on surfaces with boundary”, Combinatorics and graph theory. Part V, Zap. Nauchn. Sem. POMI, 446, POMI, St. Petersburg, 2016, 100–121; J. Math. Sci. (N. Y.), 226:5 (2017), 608–622
Citation in format AMSBIB
\Bibitem{Jon16}
\by G.~A.~Jones
\paper Highly symmetric maps on surfaces with boundary
\inbook Combinatorics and graph theory. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 446
\pages 100--121
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6285}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3520424}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 226
\issue 5
\pages 608--622
\crossref{https://doi.org/10.1007/s10958-017-3553-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029579526}
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  • https://www.mathnet.ru/eng/znsl/v446/p100
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