Work

Progress around the Boone–Higman conjecture

Year: 2025

Type: article

Abstract: A conjecture of Boone and Higman from the 1970’s asserts that a finitely generated group G has solvable word problem if and only if G can be embedded into a finitely presented simple group. We comment on the history of this conjecture and survey recent results that establish the conjecture for many large classes of interesting groups.

Source: EMS Surveys in Mathematical Sciences

DOI: 10.4171/emss/101

Authors: James Belk, Collin Bleak, Francesco Matucci, Matthew C. B. Zaremsky

Institutions: University of Glasgow, University of St Andrews, University of Milano-Bicocca, University at Albany, State University of New York

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411351207

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