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Equivalence of ℤ4-actions on Handlebodies of Genus g
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  • Journal title : Kyungpook mathematical journal
  • Volume 56, Issue 2,  2016, pp.577-582
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2016.56.2.577
 Title & Authors
Equivalence of ℤ4-actions on Handlebodies of Genus g
Prince-Lubawy, Jesse;
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 Abstract
In this paper we consider all orientation-preserving -actions on 3-dimensional handlebodies of genus g > 0. We study the graph of groups (, G(v)), which determines a handlebody orbifold . This algebraic characterization is used to enumerate the total number of group actions on such handlebodies, up to equivalence.
 Keywords
handlebodies;orbifolds;graph of groups;orientation-preserving;cyclic actions;
 Language
English
 Cited by
 References
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J. Prince-Lubawy, Equivalence of cyclic $p^2$-actions on handlebodies, In preparation.