Automatic groups and amalgams

Gilbert Baumslag; Steve Gersten; Michael Shapiro; Hamish Short

doi:10.1016/0022-4049(91)90139-S

Automatic groups and amalgams

Gilbert Baumslag
, Steve Gersten
, Michael Shapiro
, Hamish Short

Department of Life Sciences

City University of New York
University of Utah
Ohio State University

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	229-316
Number of pages	88
Journal	Journal of Pure and Applied Algebra
Volume	76
Issue number	3
DOIs	https://doi.org/10.1016/0022-4049(91)90139-S
Publication status	Published - 31 Dec 1991

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10.1016/0022-4049(91)90139-S

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title = "Automatic groups and amalgams",

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.",

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AU - Gersten, Steve

AU - Shapiro, Michael

AU - Short, Hamish

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N2 - 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.

AB - 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.

U2 - 10.1016/0022-4049(91)90139-S

DO - 10.1016/0022-4049(91)90139-S

M3 - Article

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VL - 76

SP - 229

EP - 316

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

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Automatic groups and amalgams

Abstract

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