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A Remark on Self-maps of n-Spheres

✍ Scribed by Dietrich Göhde

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
156 KB
Volume
155
Category
Article
ISSN
0025-584X

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📜 SIMILAR VOLUMES

Self-dual maps on the sphere
Self-dual maps on the sphere
✍ Brigitte Servatius; Herman Servatius 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 615 KB

We show how to construct recursively all self-dual maps on the sphere together with their self-dualities, and classify them according to their edge-permutations.

The 24 symmetry pairings of self-dual ma
The 24 symmetry pairings of self-dual maps on the sphere
✍ Brigitte Servatius; Herman Servatius 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 684 KB

Given a self-dual map on the sphere, the collection of its self-dual permutations generates a transformation group in which the map automorphism group appears as a subgroup of index two. A careful examination of this pairing yields direct constructions of self-dual maps and provides a classification