100年 - 100 淡江大學轉學考代數#55909

科目：轉學考-代數 | 年份：100年 | 選擇題數：0 | 申論題數：8

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所屬科目：轉學考-代數

選擇題 (0)

申論題 (8)

(a) 25⁴⁹ is divided by 11

(b) 23⁴⁶¹ is divided by 43

2. Show that a group G is abelian if and only if x²= e for any x in G, where e is the identity of G.

3. Let G be a group such that | G | ＜ 200. Suppose G has subgroups of order 33 and 55, find the order of G..

【已刪除】4. If H is a subset of a group G，show that H is a subgroup of G if and only if H is nonempty and ab^-1e H whenever a，b

H.

【已刪除】 (a)

【已刪除】(b)

【已刪除】(c)