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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A character-theoretic approach to embeddings of rooted maps in an orientable surface of given genus


Authors: D. M. Jackson and T. I. Visentin
Journal: Trans. Amer. Math. Soc. 322 (1990), 343-363
MSC: Primary 05C30; Secondary 05C10, 20C15
MathSciNet review: 1012517
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Abstract: The group algebra of the symmetric group and properties of the irreducible characters are used to derive combinatorial properties of embeddings of rooted maps in orientable surfaces of arbitrary genus. In particular, we show that there exists, for each genus, a correspondence between the set of rooted quadrangulations and a set of rooted maps of all lower genera with a distinguished subset of vertices.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1990-1012517-8
PII: S 0002-9947(1990)1012517-8
Article copyright: © Copyright 1990 American Mathematical Society