Normal Forms in Cayley Automatic Groups

Abstract: In this talk I will discuss the notion of a Cayley automatic group, introduced by Kharlampovich, Khoussainov and Miasnikov, and some extensions of this notion. The main focus will be on geometric and computational properties of normal forms in such groups. My talk will be mainly based on these papers: arxiv.org/abs/2008.02381 and arxiv.org/abs/2008.02511. If time allows I will mention some results from arxiv.org/abs/1804.02548, arxiv.org/abs/1902.00652 and arxiv.org/abs/2001.04743

group theory

Audience: researchers in the topic

World of GroupCraft