Automatic groups and amalgams

Gilbert Baumslag, Steve Gersten, Michael Shapiro, Hamish Short

Research output: Contribution to journalArticlepeer-review


The objectives of this paper are twofold. The first is to provide a self-contained introduction to the theory of automatic and asynchronously automatic groups, which were invented a few years ago by J.W. Cannon, D.B.A. Epstein, D.F. Holt, M.S. Paterson and W.P. Thurston. The second objective is to prove a number of new results about the construction of new automatic and asynchronously automatic groups from old ones by means of amalgamated products.
Original languageEnglish
Pages (from-to)229-316
Number of pages88
JournalJournal of Pure and Applied Algebra
Issue number3
Publication statusPublished - 31 Dec 1991


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