#### Alladi Ramakrishnan Hall

#### Torsion in Groups

#### Rishi Vyas

##### Ben Gurion

*A element in a group is said to be torsion if it has finite order. In this*

talk, we will describe some aspects of the set of torsion elements and

other related constructions for various families of groups. After outlining

some relevant material from the literature, we will introduce the notion of

torsion length: roughly speaking, the torsion length of a group is the

number of times one needs to `remove' torsion before arriving at a

torsion-free quotient. We will study this invariant in the context of

finitely generated and finitely presented groups.

The material in this talk will be reasonably elementary - the only real

prerequisite is some basic combinatorial group theory. This work is joint

with Dr Maurice Chiodo.

Done