This preview shows page 1. Sign up to view the full content.
Unformatted text preview: nd ALL cosets of H. (Hint: there are four.) Write your final answers below. Use the
whitespace above or the back of the page for your work.
We find cosets by performing the group operation between each member of the group
and the members of the coset, one at a time. When attempting to generate a coset yields a
repeated element, we skip the coset generated by that group member and continue until
all elements of the group are covered. For example, performing the group operation with
element 2 and the subgroup H yields {2, 4, 6, 0} – and all of these elements are already
present in the coset g...
View Full
Document
 Fall '08
 Trachtenberg

Click to edit the document details