New simple groups with a BN-pair
Zaniar Ghadernezhad, Katrin Tent

TL;DR
This paper constructs simple groups with a spherical BN-pair of rank 2 that are non-Moufang, demonstrating the existence of such groups outside algebraic groups.
Contribution
It introduces new simple groups with spherical BN-pairs of rank 2 that are not of algebraic origin, expanding the known class of such groups.
Findings
Existence of non-Moufang simple groups with spherical BN-pair of rank 2
These groups are not of algebraic origin
Demonstrates new examples of simple groups with specific BN-pair properties
Abstract
We show that there are simple groups with a spherical BN-pair of rank 2 which are non-Moufang and hence not of algebraic origin.
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Taxonomy
TopicsFinite Group Theory Research
