The talk will start with four different definitions of a loop, with an aim to make the notion accessible to those who normally do not work with binary nonassociative operations.

The main purpose of the talk is to give an overview of loop varieties that are being studied. Free loops will be discussed in order to point out the huge difference between properties of finite loops and infinite loops.

In the second part of the talk I intend to describe the three criteria that have been used to select those loop varieties
that might be structurally interesting: (1) Nuclear indentification (tool: autotopisms), (2) automorphic properties (tool: the multiplication group) and (3) Bol-Moufang types (tool: formal properties of loop identities).

About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.

Venue

Goddard Building (#08)
Room: 
212