The complexity of balanced presentations and the Andrews-Curtis conjecture

<p>Motivated by problems in topology, we explore the complexity of balanced group presentations. We obtain large lower bounds on the complexity of Andrews-Curtis trivialisations, beginning in rank 4. Our results are based on a new understanding of how Dehn functions of groups behave under cert...

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Bibliografiske detaljer
Hovedforfatter: Bridson, M
Format: Journal article
Udgivet: 2016