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Group Actions on Handlebodies

✍ Scribed by McCullough, D.; Miller, A.; Zimmermann, B.

Book ID: 120101770
Publisher: Oxford University Press
Year: 1989
Tongue: English
Weight: 999 KB
Volume: s3-59
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s3-59.2.373

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Finite maximal orientation reversing gro

Finite maximal orientation reversing group actions on handlebodies and 3-manifolds

✍ Bruno Zimmermann 📂 Article 📅 1999 🏛 Springer Milan 🌐 Italian ⚖ 680 KB

Finite group actions on handlebodies and

Finite group actions on handlebodies and equivariant Heegaard genus for 3-manifolds

✍ Bruno Zimmermann 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 734 KB

On braid groups in handlebodies

✍ V. V. Vershinin 📂 Article 📅 1998 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 462 KB

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