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2-groups behaving as automorphism groups of regular 3-polytopes
- Source :
- Journal of group theroy, 22 (4
- Publication Year :
- 2019
-
Abstract
- In this paper, we classify regular polytopes with automorphism groups of order $2^n$ and Schl\"afli types $\{4, 2^{n-3}\}, \{4, 2^{n-4}\}$ and $\{4, 2^{n-5}\}$ for $n \geq 10$, therefore giving a partial answer to a problem proposed by Schulte and Weiss in [Problems on polytopes, their groups, and realizations, Periodica Math. Hungarica 53(2006) 231-255].<br />Comment: 21 pages
Details
- Language :
- French
- Database :
- OpenAIRE
- Journal :
- Journal of group theroy, 22 (4
- Accession number :
- edsair.doi.dedup.....180fef150c5c0d6ed949abaf6bb6d586