Seminars: W. Wang, Seminar 59. Bi-orders on free metabelian groups

SEMINARS


Seminar by I. G. Lysenok and A. L. Talambutsa "Seminar on geometric group theory" April 13, 2023 18:00, Steklov Mathematical Institute, Room 430 (8 Gubkina)

Seminar 59. Bi-orders on free metabelian groups W. Wang
Abstract: A bi-order on a group $G$ is a total, bi-multiplication invariant order. Such an order is regular if the positive cone associated to the order can be recognised by a regular language. In this talk, I will prove that non-abelian free metabelian groups of finite rank do not admit a regular bi-order. Language: English