질문 질문..이번엔 좀 많습니다....ㅡ.ㅡ

[SpeedLee]

24. Show that A_n is a normal subgruop of S_n and compute S_n/A_n; that is, find a known group to which S_n/A_n is isomorphic.

27. A subgroup His conjugate to a subgroup K of a group G if there exists an inner automorphism i_g of G such that i_g[H]=K. Show that conjugacy is an equivalence relation on the collection subgroups of G.

31. Show that an intersection of normal subgroup G is again a normal subgroup of G.

33. Let G be a group. An element of G that can be expressed in the form aba^-1b^-1 for some a,b∈G is a commutator in G. The preceding exercise show that there is a smallest normal subgroup C of a group G containing all commutators in G; the subgroup C is the commutators subgroup of G. Show that G/C is an abelian group.

35. Show that if H and N are subgroups of a group G ,and N is normal in G then H ∩N is normal in H. Show by an example that H ∩N need not normal in G

38. Show that the set of all g∈G such that i_g:G -> G is the identity inner automorphism i_e is a normal subgroup of a group G.

[SpeedLee]

막 영어로 쓰니깐 멋있어 보이긴 하네요...-.- 제가 최다 질문자인 거 같아요...ㅡ.ㅡ

[폭풍속으로]

제가 영어를 잘하진 못하지만, 대충은 무슨 얘긴지 알아볼 수 있으니까 천만다행입니다. ^^;; 님께서 최다 질문자라는 말은 그만큼 공부를 많이, 그리고 열심하신다는 증거일 수도 있습니다. ^^ 제가 도움을 많이 드리는지 모르겠습니다.... ㅡ.ㅡ;;