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du0927

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[求助] 交错群A_n的覆盖群2.A_n中的个数是多少?

请问,有人知道交错群A_n的覆盖群2.A_n中的个数是多少吗?

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du0927

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2楼: Originally posted by hank612 at 2015-11-27 04:34:57
虽然我不懂,但网上信息很全阿
http://mathoverflow.net/questions/9406/presentation-for-the-double-cover-of-a-n

https://en.wikipedia.org/wiki/Covering_groups_of_the_alternating_and_symmetric_groups
...

十分感谢啊

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4楼2015-11-27 16:07:39
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hank612

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du0927(Edstrayer代发): 金币+20 2015-12-23 01:09:50
虽然我不懂,但网上信息很全阿
http://mathoverflow.net/question ... double-cover-of-a-n

https://en.wikipedia.org/wiki/Co ... nd_symmetric_groups

“the alternating group of degree n has one isomorphism class of Schur cover, which has order n! except when n is 6 or 7, in which case the Schur cover has order 3⋅n!.”

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2楼2015-11-27 04:34:57
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du0927

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2楼: Originally posted by hank612 at 2015-11-27 04:34:57
虽然我不懂,但网上信息很全阿
http://mathoverflow.net/questions/9406/presentation-for-the-double-cover-of-a-n

https://en.wikipedia.org/wiki/Covering_groups_of_the_alternating_and_symmetric_groups
...

不会发金币^_^

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5楼2015-11-27 17:17:43
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du0927

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引用回帖:
2楼: Originally posted by hank612 at 2015-11-27 04:34:57
虽然我不懂,但网上信息很全阿
http://mathoverflow.net/questions/9406/presentation-for-the-double-cover-of-a-n

https://en.wikipedia.org/wiki/Covering_groups_of_the_alternating_and_symmetric_groups
...

1

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6楼2015-11-27 17:18:06
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