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The 24 symmetry pairings of self-dual maps on the sphere

✍ Scribed by Brigitte Servatius; Herman Servatius

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
684 KB
Volume
140
Category
Article
ISSN
0012-365X

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✦ Synopsis

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 of self-dual maps.

πŸ“œ SIMILAR VOLUMES

Self-dual maps on the sphere
Self-dual maps on the sphere
✍ Brigitte Servatius; Herman Servatius πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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.

On the self-dual 5-codes constructed fro
On the self-dual 5-codes constructed from Hadamard matrices of order 24
✍ Masaaki Harada πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 71 KB πŸ‘ 1 views

## Abstract There are exactly 60 inequivalent Hadamard matrices of order 24. In this note, we give a classification of the self‐dual 𝔽~5~‐codes of length 48 constructed from the Hadamard matrices of order 24. Β© 2004 Wiley Periodicals, Inc.