Mathematics Homework Solutions
#172191
Algebraic Structures
Problem #1
Prove that Aut(V)= (S3)and that Aut(S3)= S3.
Problem #2
If H and K are normal subgroups of a group G with HK = G. Prove that
G/(H n K) = (G/H) x (G/K).
The solution comprises approximately 2 pages written in Word with mathematical notation written using Mathtype. Each step is explained, but assumes some background knowledge in abstract algebra. The solution is typical of the sort of tricks that must be employed to answer questions in this field.
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