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Mathematics Forum
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| Author | Message / Information |
| san15 Quote | Reply | | hi..hav got 5 probs need help posted on: 10/10/2006 9:45:28 AM 1:If G is a group of even order.Prove that it has an element of order 2. 2:Suppose H is the only subgroup of order O(H) in finite group,then Prove that H is a normal subgroup of G. 3:Let G be a finite abelian group of order O(G) and suppose (n,O(G))=1.Prove tht every g belongs to G can b written as g=X^n with x belong to G. 4:If p is a prime number prove tht any group of order 2p must have a subgroup of order p and tht this subgroup is normal in G 5:If G is a group prove tht Z(G) is a normal subgroup of G. |
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