A general criterion on group actions with contractible strong fundamental domains implies homological Sigma invariants are empty or dense in the character sphere, applied to new families including pure symmetric automorphisms of right-angled Artin groups.
Ardaiz-Gale, C
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Cohomology of pure symmetric Aut and Out of right-angled Artin groups is free abelian, generated in degree one, with ranks from a poset; a generalized Brownstein–Lee conjecture holds in dimension two.
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Actions with a strong fundamental domain and Sigma invariants of groups
A general criterion on group actions with contractible strong fundamental domains implies homological Sigma invariants are empty or dense in the character sphere, applied to new families including pure symmetric automorphisms of right-angled Artin groups.
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Cohomology of the pure symmetric automorphisms of right-angled Artin groups
Cohomology of pure symmetric Aut and Out of right-angled Artin groups is free abelian, generated in degree one, with ranks from a poset; a generalized Brownstein–Lee conjecture holds in dimension two.