The symmetric genus spectrum of finite groups
نویسندگان
چکیده
منابع مشابه
The Strong Symmetric Genus of the Finite Coxeter Groups
The strong symmetric genus of a finite group G is the smallest genus of a closed orientable topological surface on which G acts faithfully as a group of orientation preserving automorphisms. In this paper we complete the calculation of the strong symmetric genus for each finite Coxeter group excluding the group E8.
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A new method for determining genus of a group is described. It involves first getting a bound on the sizes of the generating set for which the corresponding Cayley graph could have smaller genus. The allowable generating sets are then examined by methods of computing average face sizes and by voltage graph techniques to find the best embeddings. This method is used to show that genus of the sym...
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متن کاملfinite simple groups which are the products of symmetric or alternating groups with $l_{3}(4)$
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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2011
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.127.eb9