An Algebraic Structure for Moufang Quadrangles is popular PDF and ePub book, written by Tom de Medts in 2005, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Algebraic Structure for Moufang Quadrangles can be Read Online from any device for your convenience.
An Algebraic Structure for Moufang Quadrangles Book PDF Summary
Very recently, the classification of Moufang polygons has been completed by Tits and Weiss. Moufang $n$-gons exist for $n \in \{3, 4, 6, 8 \}$ only. For $n \in \{3, 6, 8 \}$, the proof is nicely divided into two parts: first, it is shown that a Moufang $n$-gon can be parametrized by a certain interesting algebraic structure, and secondly, these algebraic structures are classified. The classification of Moufang quadrangles $(n=4)$ is not organized in this way due to the absence of a suitable algebraic structure. The goal of this article is to present such a uniform algebraic structure for Moufang quadrangles, and to classify these structures without referring back to the original Moufang quadrangles from which they arise, thereby also providing a new proof for the classification of Moufang quadrangles, which does consist of the division into these two parts. We hope that these algebraic structures will prove to be interesting in their own right.
Detail Book of An Algebraic Structure for Moufang Quadrangles PDF
- Author : Tom de Medts
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 1470404192
- Genre : Mathematics
- Total Page : 99 pages
- Language : English
- PDF File Size : 12,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book An Algebraic Structure for Moufang Quadrangles by Tom de Medts, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.