3 papers
math.GR2026
Dyer groups have the falsification by fellow-traveller property
Megan Howarth
This paper is devoted to the study of the falsification by fellow-traveller property (FFTP) in Dyer groups. We exhibit a finite generating set for which the associated Cayley graph…
math.QA2026
The kernel of formal polylogarithms
Anton Alekseev, Megan Howarth, Florian Naef +2
Polylogarithmic functions (polylogs) in variables can be viewed as elements of , the dual of the universal enveloping algebra of the Lie algebra $\mathfr…
math.QA2025
Reduced coaction Lie algebra, double shuffle Lie algebra and noncommutative krv2 equation
Megan Howarth, Muze Ren
We study the reduced coaction Lie algebra , which is defined by an algebraic equation satisfied by the reduced coaction (an upgraded version of the necklace cobrac…