Algebra Seminar by Dr Maurice Chiodo

Charlotte Scott Centre for Algebra

On Wednesday the 24th of January, Maurice Chiodo, from the University of Cambridge, will be visiting Lincoln and giving a Seminar at 3pm in INB 3305. His talk title is “Quotients of groups by torsion elements” and his talk abstract is as follows:
The quotient of a group G by the normal closure N of all its torsion elements T need not be torsion-free. However, iterating this process a countably-infinite number of times yields the universal torsion-free quotient of G. With this in mind, we define the Torsion Length of a group to be the minimum number of such quotients needed to yield a torsion-free group (or omega if no such number exists). Finding examples of groups with infinite torsion length is somewhat tricky, especially if one restricts to finitely presented, or even finitely generated groups. I’ll aim to discuss some of these examples, and give an overview of how…

View original post 11 more words

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.

© School of Mathematics and Physics, University of Lincoln, Brayford Pool, Lincoln, LN6 7TS, United Kingdom
%d bloggers like this: