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10 Nov 2019
1. Let G be a group and let HEG: 2 e). (a) If G is D4, what is H? Is H a subgroup of G? (b) Prove that if G is abelian, then is a subgroup of G. 2. Let G be a group and a be a specific element of G. Define (a) If G is any abelian group, what can you say about Ca (for any a E G)? Explai (b) Prove that Ca is a subgroup of G (whether or not G is abelian)
1. Let G be a group and let HEG: 2 e). (a) If G is D4, what is H? Is H a subgroup of G? (b) Prove that if G is abelian, then is a subgroup of G. 2. Let G be a group and a be a specific element of G. Define (a) If G is any abelian group, what can you say about Ca (for any a E G)? Explai (b) Prove that Ca is a subgroup of G (whether or not G is abelian)
Jamar FerryLv2
24 Jun 2019