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The Nagata-Higman Theorem

In: Topics in Computational Algebra

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  • Edward Formanek

    (The Pennsylvania State University)

Abstract

This article is devoted to a history of the Nagata-Higman Theorem and related developments. The presentation is for the most part in chronological order, with one important exception. Approximately five years ago, Gerald Schwarz discovered that the Nagata–Higman Theorem had been proved by Dubnov and Ivanov [2] in 1943, nine years before the paper of Nagata. It had been completely overlooked by the mathematical community and had had no impact on subsequent research. Therefore in my history it appears as a recent archaeological find.

Suggested Citation

  • Edward Formanek, 1990. "The Nagata-Higman Theorem," Springer Books, in: G. M. Piacentini Cattaneo & E. Strickland (ed.), Topics in Computational Algebra, pages 185-192, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-3424-8_8
    DOI: 10.1007/978-94-011-3424-8_8
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