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math.GR2022
On normal subgroups in automorphism groups
Philip Möller, Olga Varghese
We describe the structure of virtually solvable normal subgroups in the automorphism group of a right-angled Artin group . In particular, we prove that a finite nor…
math.GR2022
A note on almost negative matrices and Gromov-hyperbolic Coxeter groups
Philip Möller
In this note we revisit Moussong's Characterization of Gromov-hyperbolic Coxeter groups. A Coxeter group is Gromov-hyperbolic if and only if it does not contain a subgroup isomorph…
math.GR2022
A note on semicompleteness of graph products of abelian groups
Philip Möller, Olga Varghese
In this short note we prove that a graph product of finitely generated abelian groups is semicomplete -- that is the kernel of the natural homomorphism ${\rm Aut}(G_Γ)\to{\rm…