@techreport{a61abfb653ce4fbf93a6fbe9c08c5588,
title = "Progress around the Boone-Higman conjecture",
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.",
keywords = "Group theory",
author = "James Belk and Collin Bleak and Francesco Matucci and Zaremsky, {Matthew C. B.}",
note = "Funding: FM is a member of the Gruppo Nazionale per le Strutture Algebriche, Geomet- riche e le loro Applicazioni (GNSAGA) of the Istituto Nazionale di Alta Matem- atica (INdAM) and gratefully acknowledges the support of the Funda¸c˜ao para a Ciˆencia e a Tecnologia (CEMAT-Ciˆencias FCT projects UIDB/04621/2020 and UIDP/04621/2020) and of the Universit`a degli Studi di Milano–Bicocca (FA project 2020-ATE-0006 “Strutture Algebriche”). MCBZ is supported by grant #635763 from the Simons Foundation.",
year = "2023",
month = jun,
day = "28",
language = "English",
publisher = "arXiv",
type = "WorkingPaper",
institution = "arXiv",
}