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- Title
Equivalence of Cyclic p-squared Actions on Handlebodies.
- Authors
PRINCE-LUBAWY, JESSE
- Abstract
In this paper we consider all orientation-preserving Zp2 -actions on 3-dimensional handlebodies Vg of genus g > 0 for p an odd prime. To do so, we examine par-ticular graphs of groups (λ(v);G(v)) in canonical form for some 5-tuple v = (r; s; t; m; n)with r + s + t + m > 0. These graphs of groups correspond to the handlebody orbifoldsV (λ(v);G(v)) that are homeomorphic to the quotient spaces Vg=Zp2 of genus less thanor equal to g. This algebraic characterization is used to enumerate the total number of Zp2 -actions on such handlebodies, up to equivalence.
- Subjects
MATHEMATICAL equivalence; HANDLEBODIES; PRIME numbers; GRAPH theory; TOPOLOGICAL spaces
- Publication
Kyungpook Mathematical Journal, 2018, Vol 58, Issue 3, p573
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2018.58.3.573