Certain Simple, Unsolvable Problems of Group Theory. I1)1)Unless otherwise indicated, the results and proofs of this and subsequent related papers are as given (in somewhat more detail) in Several simple unsolvable problems of group theory related to the word problem, a doctoral dissertation accepted by Princeton University in April, 1952. The proof of the unsolvability of the quasi-MAGNUS problem was presented to a meeting of The Association for Symbolic Logic, April 28, 1951. (Abstract, Journal of Symbolic Logic, 16, 237.)Our thanks are due to Professors Alonzo Church and Roger Lyndon for their constructive suggestions regarding this dissertation; to Professor Wilhelm Magnus, for stimulating discussions regarding possible extensions.-Reference-Cited by-同舟云学术

Certain Simple, Unsolvable Problems of Group Theory. I1)1)Unless otherwise indicated, the results and proofs of this and subsequent related papers are as given (in somewhat more detail) in Several simple unsolvable problems of group theory related to the word problem, a doctoral dissertation accepted by Princeton University in April, 1952. The proof of the unsolvability of the quasi-MAGNUS problem was presented to a meeting of The Association for Symbolic Logic, April 28, 1951. (Abstract, Journal of Symbolic Logic, 16, 237.)Our thanks are due to Professors Alonzo Church and Roger Lyndon for their constructive suggestions regarding this dissertation; to Professor Wilhelm Magnus, for stimulating discussions regarding possible extensions.

Published:1954 Issue: Volume:57 Page:231-237
ISSN:1385-7258
Container-title:Indagationes Mathematicae (Proceedings)
language:en
Short-container-title:Indagationes Mathematicae (Proceedings)

Author:

Boone William W.

Publisher

Elsevier BV

Subject

General Medicine

Reference6 articles.

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2. Das Identitätsproblem für Gruppen mit einer definierenden Relation;Magnus;Math. Annalen,1932

3. Über die Einbettung von assoziativen systemen in Gruppen (in Russian);Malcev;Mat. Sbornik,1939

4. Recursive unsolvability of a problem of Thue;Post;Journal of Symbolic Logic,1947

5. On computable numbers, with an application to the Entscheidungs- problem, ser. 2;Turing;Proc. London Math. Soc.,1937

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