𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On handlebodies

✍ Scribed by V. Poénaru

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
784 KB
Volume
9
Category
Article
ISSN
0040-9383

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📜 SIMILAR VOLUMES

Free actions on handlebodies
Free actions on handlebodies
✍ Darryl McCullough; Marcus Wanderley 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 258 KB

The equivalence (or weak equivalence) classes of orientation-preserving free actions of a ÿnite group G on an orientable three-dimensional handlebody of genus g ¿ 1 can be enumerated in terms of sets of generators of G. They correspond to the equivalence classes of generating n-vectors of elements o

Free actions of finite abelian groups on
Free actions of finite abelian groups on handlebodies
✍ Marcus Wanderley 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 452 KB

We show that two free actions of a finite abelian group (of orientation preserving homeomorphisms) on a handlebody are equivalent. Moreover, the free genus of such a group is determined. Ophrations libres de groupes abbliens finis sur des bretaels ## R&urn& Duns cette Note, on demontre que deux

Generating Functions for Actions on Hand
Generating Functions for Actions on Handlebodies with Genus Zero Quotient
✍ Matt Compton; Andy Miller 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 201 KB

For a finite group G and a nonnegative integer g, let Q g denote the number of q-equivalence classes of orientation-preserving G-actions on the handlebody of genus g which have genus zero quotient. Let q(z)= g 0 Q g z g be the associated generating function. When G has at most one involution, we sho