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View Full Version : Find Generators and relations analogous to (2.13) for the Klein four group.?


nincoola
Oct11-08, 07:53 PM
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

Find Generators and relations analogous to (2.13) for the Klein four group.?
(2.13) i^4=1, i^2=j^2, ji=(i^3)j.
(a) Find Generators and relations analogous to (2.13) for the Klein four group.

(b) Find all subgroups of the Klein four group.

Please show steps! Thank you.

HallsofIvy
Oct12-08, 08:15 AM
Well, what IS the Klein 4 group? It has only 4 members. You ought to be able to write out the operation table and get this immediately.