Assignment:
1
2
3
Due Date: Tuesday January 17th
Due Date: Thursday January 26th (new date)
 Do: Use Whitehead's algorithm to prove that {xy, zyz, ZYYX}
is a basis. Show your intermediate steps! Next, write it as a product of Nielsen transformations.
Use the a^{b} notation introduced in class.
 Do: Convert the presentation in Gersten's article to our
notation and then verify and/or correct each of the relations.
 Optional: For the computer inclined, write a computer
program to carry out Whitehead's algorithm on a set of words.
Due Date: Thursday February 9th
 Calculate: the neighborhood of the standard rose labeled
x,y,z in the reduced spine of outer space for the free group of rank 3.
