Quotient group Analysis (PKU2011 and 2009 on quotient group Real-problem analysis)

The 2011 Postgraduate Entrance examination has, although do not know the result, here summarizes a lot of people have not understood the place: business Group.

Remember that one day in December, the name of the wind called me, and I asked this place by the way.

Here to share your personal summary:

Quotient group-generated motives:

Mathematics is also invented by people, such as set theory, is Canter proposed, although later he was driven crazy by his mentor, but set theory is generally accepted by people, and by time proved to be correct, many of his proofs can use the concept to prove and explain, some difficult to understand the place is still provable, and then accepted, such as the Cantor dust collection.

Group quotient g/h, also defined by the person, it is derived from the motive is a group, a complete group G, by H to group. As an example:

2011 PKU Postgraduate Examination in real question:

Analysis: According to the motives of the group to solve the problem, the idea is as follows:

divide G by F into 4 groups, 3 elements in each group, and the rightmost element is the core ker f of G, i.e.:

look at the 2009 real title: