Moufang Twin Trees of prime order
Matthias Gr\"uninger, Max Horn, Bernhard M\"uhlherr
TL;DR
This paper proves that in Moufang twin trees of prime order, the unipotent horocyclic group exhibits nilpotency of class at most 2, revealing structural properties of these mathematical objects.
Contribution
It establishes a new result about the nilpotency class of the unipotent horocyclic group in Moufang twin trees of prime order.
Findings
Unipotent horocyclic group is nilpotent of class at most 2
Provides structural insight into Moufang twin trees of prime order
Advances understanding of algebraic properties of twin trees
Abstract
We prove that the unipotent horocyclic group of a Moufang twin tree of prime order is nilpotent of class at most 2.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · Graph theory and applications