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Part of book or chapter of book . 1973 . Peer-reviewed

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An Elementary Construction of Unsolvable Word Problems in Group Theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 1973Publisher:Elsevier BV

Authors: Ralph McKenzie; Richard J. Thompson;

doi: 10.1016/s0049-237x(08)71914-1

An Elementary Construction of Unsolvable Word Problems in Group Theory

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Abstract

Publisher Summary This chapter presents an elementary construction of unsolvable word problems in group theory and introduces a new approach to constructing finitely presented groups with unsolvable word problems. The argument has a concrete motivation that makes it easy to follow. The chapter also discusses arrow notation and presents a proof of the Novikov–Boone theorem that states that there exists a finitely presented group whose word problem is not recursively solvable.

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University of California, Berkeley
United States

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	73
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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