TY - UNPB
T1 - Embedding hyperbolic groups into finitely presented infinite simple groups
AU - Belk, James
AU - Bleak, Collin
PY - 2023/6/26
Y1 - 2023/6/26
N2 - The Boone--Higman conjecture is that every recursively presented group with solvable word problem embeds in a finitely presented simple group. We discuss a brief history of this conjecture and work towards it. Along the way we describe some classes of finitely presented simple groups, and we briefly outline work of Belk, Bleak, Matucci, and Zaremsky showing that the broad class of hyperbolic groups embeds in a class of finitely presented simple groups.
AB - The Boone--Higman conjecture is that every recursively presented group with solvable word problem embeds in a finitely presented simple group. We discuss a brief history of this conjecture and work towards it. Along the way we describe some classes of finitely presented simple groups, and we briefly outline work of Belk, Bleak, Matucci, and Zaremsky showing that the broad class of hyperbolic groups embeds in a class of finitely presented simple groups.
U2 - 10.48550/arXiv.2306.14863
DO - 10.48550/arXiv.2306.14863
M3 - Preprint
BT - Embedding hyperbolic groups into finitely presented infinite simple groups
PB - arXiv
ER -