Author:
Hruska G. Christopher,Wise Daniel T.
Abstract
AbstractThe Spelling Theorem of B. B. Newman states that for a one-relator group (a1, … |Wn), any nontrivial word which represents the identity must contain a (cyclic) subword ofW±nlonger thanWn−1. We provide a new proof of the Spelling Theorem using towers of 2-complexes. We also give a geometric classification of reduced disc diagrams in one-relator groups with torsion. Either the disc diagram has three 2-cells which lie almost entuirly along the bounday, or the disc diagram looks like a ladder. We use this ladder theorem to prove that a large class of one-relator groups with torsion are locally quasiconvex.
Publisher
Cambridge University Press (CUP)
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