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math.GR2025
Outer space and finiteness properties for symmetric automorphisms of RAAGs, and generalisations
Gabriel Corrigan
We define the symmetric (outer) automorphism group of a right-angled Artin group and construct for it a (spine of) Outer space. This `symmetric spine' is a contractible cube comple…
math.GR2025
Realising VCD for untwisted automorphism groups of RAAGs
Gabriel Corrigan
The virtual cohomological dimension of~ is given precisely by the dimension of the spine of Culler--Vogtmann Outer space. However, the dimension of the spi…