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math.GR2026
Quasihomomorphisms to real algebraic groups
Sami Douba, Francesco Fournier-Facio, Sam Hughes +1
A quasihomomorphism is a map that satisfies the homomorphism relation up to bounded error. Fujiwara and Kapovich proved a rigidity result for quasihomomorphisms taking values in di…
math.GR2025
Asymmetric stability of the Brunn--Minkowski inequality in compact Lie groups
Simon Machado
We show a stability result for the recently established Brunn--Minkowski inequality in compact simple Lie groups. Namely, we prove that if two compact subsets of a compact s…
math.GR2024
Minimal doubling for small subsets in compact Lie groups
Simon Machado
We prove a sharp bound for the minimal doubling of a small measurable subset of a compact connected Lie group. Namely, let be a compact connected Lie group of dimension ,…