Permutation Representations of the Symmetry Groups of Regular Hyperbolic Tessellations
β Scribed by Mushtaq, Q.; Servatius, H.
- Book ID
- 120094947
- Publisher
- Oxford University Press
- Year
- 1993
- Tongue
- English
- Weight
- 205 KB
- Volume
- s2-48
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
## Abstract The construction of symmetrized powers of representations of the point groups can be deduced by decomposing the appropriate representation of the unitary group into the representations of the group of the sphere, and then mapping these representations onto the point group. The method is
If a sequence of transitive permutation groups G of degree n have orders which are not too large (log IGI--o(n~) suttices), then the number of orbits on the power set is asymptotically 2n/]GI, and almost all of these orbits are regular. This conclusion holds in particular for primitive groups.