Automatic groups and amalgams

Gilbert Baumslag, Steve Gersten, Michael Shapiro, Hamish Short

Research output: Contribution to journalArticle

Abstract

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
Volume76
Issue number3
DOIs
Publication statusPublished - 31 Dec 1991

Cite this

Baumslag, G., Gersten, S., Shapiro, M., & Short, H. (1991). Automatic groups and amalgams. Journal of Pure and Applied Algebra, 76(3), 229-316. https://doi.org/10.1016/0022-4049(91)90139-S