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Automorphism groups of maps, hypermaps and dessins

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 نشر من قبل Gareth Jones
 تاريخ النشر 2018
  مجال البحث
والبحث باللغة English
 تأليف Gareth A. Jones




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A detailed proof is given of a theorem describing the centraliser of a transitive permutation group, with applications to automorphism groups of objects in various categories of maps, hypermaps, dessins, polytopes and covering spaces, where the automorphism group of an object is the centraliser of its monodromy group. An alternative form of the theorem, valid for finite objects, is discussed, with counterexamples based on Baumslag--Solitar groups to show how it fails more generally. The automorphism groups of objects with primitive monodromy groups are described, as are those of non-connected objects.



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