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@inproceedings{Mineyev2011SubmultiplicativityAT, title={Submultiplicativity and the Hanna Neumann Conjecture}, author={Igor Mineyev}, year={2011} }

- Published 2011

We define submultiplicativity of `-numbers in the category of Γ-complexes over a given Γ-complex X̂, which generalizes the statement of the Strengthened Hanna Neumann Conjecture (SHNC). In the case when Γ is a left-orderable group and X̂ is a free Γ-complex, we prove submultiplicativity for the subcategory consisting of Γ-ordered leafages over X̂ with an additional analytic assumption called the deep-fall property. We show that the deep-fall property is satisfied for graphs. This implies SHNC… CONTINUE READING