Mathematics Homework Solutions
#237862
Group Theory Proof
a) prove that if G is a finite group and a is an element of G then for some positive m , a^m is equal to the identity of G. (Use the Pigeon hole principle)
b) Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.
thanks.
This provides examples of group theory proofs using pigeonhole principle and inverse elements.
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