2010/02/09 by Will Dison, Dison, Will, Tim Riley +1
Earth and Planetary Sciences · #20F10 #20F65 #20F67 #FOS: Mathematics #Group Theory (math.GR) #Marine Invertebrate Physiology and Ecology
paper · pdf · doi:10.48550/arxiv.1002.1945
openalex publication_date 2010/02/09 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
We give examples of CAT(0), biautomatic, free-by-cyclic, one-relator groups which have finite-rank free subgroups of huge (Ackermannian) distortion. This leads to elementary examples of groups whose Dehn functions are similarly extravagant. This behaviour originates in manifestations of Hercules-versus-the-hydra battles in string-rewriting.