【判断题】【消耗次数:1】
如果群G是可换群,则群G的每个子群都是正规子群。
正确
错误
参考答案:
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相关题目
【单选题】 设 H 是群 G 的子群, x∈G, 令xHx-1={xhx-1|h∈H},则 xHx-1 有性质:
①  是代数不是半群;
②  是半群不是独异点;
③  是独异点不是群;
④  是 G 的子群。
【填空题】 设H是群G的子群,左陪集aH={ }。[填空1]
【判断题】 设H是群G的子群,则每一右陪集Ha与H之间存在一个双射。
①  正确
②  错误
【单选题】 6阶群的任何子群一定不是()
①  3阶的
②  6阶的
③  4阶的
④  2阶的
【判断题】 设 G 为群, 则G具有消去律。
①  正确
②  错误
【判断题】 有限群G的每一个元素的阶都是群G的阶的一个因子。
①  正确
②  错误
【多选题】 根据拉格朗日定理, 一个8阶群的子群可能是:
①  1阶子群;
②  2阶子群;
③  4阶子群;
④  6阶子群。
【判断题】 根据拉格朗日定理, 一个8阶群的子群不可能是6阶子群。
①  正确
②  错误
【单选题】 根据拉格朗日定理, 一个8阶群的子群不可能是:
①  1阶子群;
②  2阶子群;
③  4阶子群;
④  6阶子群。
【单选题】 设 G 为群, 若x∈G 有 x2=e,则G具有性质:
①  等幂律;
②  交换律;
③  分配律;
④  有零元。
随机题目
【单选题】 By the end of last month, she _____ over five hundred letters of congratulation from different parts of the world.
①  would received
②  has received
③  had received
④  receive
【单选题】 -- Im taking my driving test tomorrow.-- _________ !
①  Cheers
②  Congratulations
③  Come on
④  Good luck
【单选题】 In order to _______ your goals, you must work hard.
①  make
②  achieve
③  require
④  develop
【单选题】 _______ the English examination, I would have gone to the concert last Sunday.
①  In spite of
②  But for
③  Because of
④  As for
【单选题】 By the time he was twelve, Edison____ to make a living by himself.
①  would begin
②  has begun
③  had begun
④  was begun
【单选题】 The popular singer who had been praised very highly____ to be a great disappointment.
①  turned in
②  turned out
③  turned up
④  turned down
【单选题】 Mary realized she ____ .
①  is made fun of
②  was making fun of
③  was being made fun of
④  is being made fun of
【单选题】 We often get _______ when people cut in line.
①  annoying
②  annoyed
③  to annoy
④  annoy
【单选题】 _______ the bad storm Tom delivered the newspapers on time.
①  In favor of
②  In spite of
③  In front of
④  In charge of
【单选题】 One of my ____ sentences is: there is no smoke without fire.
①  faithful
②  favorite
③  favorable
④  famous