Relation modules of amalgamated free products and HNN extensions

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Positive theories of HNN-extensions and amalgamated free products

It is shown that the positive first-order theory of an HNN-extension G = 〈H, t; tat = φ(a)(a ∈ A)〉 can be reduced to the existential firstorder theory of G provided that A and B are proper subgroups of the base group H with A∩B finite. For an amalgamated free product G = H ∗A J , we show that the positive first-order theory of G can be reduced to the existential first-order theory of G in case ...

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Theories of HNN-Extensions and Amalgamated Products

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ژورنال

عنوان ژورنال: Glasgow Mathematical Journal

سال: 1989

ISSN: 0017-0895,1469-509X

DOI: 10.1017/s0017089500007849