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Chapter 308 Opportunity for Analytical Number Theory!

Zhang Zhongyuan really wanted to ignore this hand, but he saw that many classmates ignored the three minutes he gave them at all, but looked back at Chen Zhou first.

There is nothing we can do about this, we can't hold it up, right?

So, in the expectant eyes of the students, Zhang Zhongyuan named: "Chen Zhou, please answer."

Chen Zhou stood up with a smile on his face.

"Watch the klein quaternary group as a form of quaternary substitution, s4 is the 24th order group, and klein is the 4th order group."

"Therefore, from Lagrangian's theorem, we can see that the quotient group s4/klein is a 6th order group. There are only two types of 6th order group in the sense of isomorphism, one is a 6th order loop group and the other is s3."

"Here, all the elements in s4/klein are listed, or they can be written in the form of the left accompanying set. If you observe the representative elements of the accompanying set, you will know that s4/klein obviously cannot form a 6th-order loop group, so s4/klein must be

Isomorphism in s3.”

"At this point, the answer to this question is also revealed."

Chen Zhou's tone was stable and he fully explained the proof ideas and methods of this question.

Zhang Zhongyuan looked at Chen Zhou, but he wanted to speak but stopped.

Some of the students below have begun to verify, while others look at Chen Zhou with admiration.

The big guy is the big guy. As soon as this question comes out, the answer comes out without thinking.

However, many students who checked the calculations found that Chen Zhou ignored a problem.

That is one step away from proof that the klein quaternary group is a regular subgroup.

They began to prove the content of this part.

Zhang Zhongyuan looked at the speed of the students writing, which was much faster than the speed of writing in his usual class, and couldn't help but sigh in his heart.

Looking at Zhang Zhongyuan who hadn't spoken, Chen Zhou thought about it and thought that his thinking should be correct.

But immediately, he realized that he had said less and added: "By the way, the proof that the klein four-element group here is a regular subgroup is too simple, so I didn't say it."

Hearing Chen Zhou's voice, he was trying to prove that the students of the Klein Four Yuan Group were regular subgroups. The hands holding the pen were stunned and stopped.

Their faces were full of wry smiles.

Seeing this scene, Zhang Zhongyuan finally couldn't help but say, "Okay, you sit down first, let's take a look at this question..."

In the second half of the class, Zhang Zhongyuan looked at the time from time to time. He felt that this was the most "hard" class he had ever taught.

It’s not that there is any special reason, it’s because I’m too familiar with Chen Zhou. This kid hasn’t come to class for so long, and suddenly comes to class, which makes him a little uncomfortable...adaptable...

"Okay, that's all for today's class. Remember to do exercises when you go back."

As Zhang Zhongyuan said this sentence, the lesson "Abstract Algebra" ended.

Chen Zhou was not in a hurry to leave. He noticed that Zhang Zhongyuan had been looking at him.

If he understands it correctly, it should mean that he should not leave after class.

Seeing that Chen Zhou had not left, the students in the classroom slowed down.

Chen Zhou came back from MIT, and they only saw him on the news broadcast and online.

Now that the real person appears, you must not observe it carefully and absorb the aura of a scholar.

If you can't guarantee it, you can stop failing the final exam not far away?

Even if you meet someone, it's OK!

They still remember the common failures in the higher generation.

But it is obvious that Zhang Zhongyuan is not happy. He has something to do with Chen Zhou. Why are you joining in the fun?

"Why? Don't you want to get out of class? Why don't we come again..."

When Zhang Zhongyuan said this, he paused unconsciously. Seeing the excited classmates, he immediately changed his words and said, "Why don't we assign more after-class exercises, and everyone will do it here?"

Hearing this, a classmate hurriedly said, "No, Professor Zhang, aren't you packing up your things? If you bring too many things, you'll leave immediately!"

Then, Zhang Zhongyuan saw a strange scene.

These students, one by one, did not walk through the main entrance, walked to Chen Zhou, either saying, "Big Boss, show mercy next time" or saying, "Big Boss, you are so handsome!"

Then he left the classroom through the back door.

Chen Zhou was also a little amused about this.

After everyone was finished, Chen Zhou stood up and walked towards Zhang Zhongyuan.

Zhang Zhongyuan looked at Chen Zhou and asked, "How is this trip to MIT, have you gained a lot?"

Chen Zhou shook his head: "It's not a lot of gain. Most of the time I spent studying Kramel's conjecture, and I didn't even have time to listen to the report."

Zhang Zhongyuan immediately laughed and scolded: "You kid is still good at getting a bargain. Will those reports be listened to or not? Will it have a big impact on you? Can you handle Kramel's guess?"

"Hehe." Chen Zhou laughed, "You can't say that, there are still many bigwigs' presentations. Like Professor Faltings and Professor Delinie..."

"Stop, stop!" Zhang Zhongyuan felt that he shouldn't mention this topic.

After a pause, he asked again: "You have completed the paper of Clamel's conjecture?"

Chen Zhou nodded: "I have submitted my articles to the Mathematics Annual."

"That's fine, another study that shocked the mathematics community." Zhang Zhongyuan looked at Chen Zhou after saying that, and added, "Compared with those mathematicians who did not go to the on-site listening to the report meeting."

Seeing Zhang Zhongyuan like this, Chen Zhou smiled. Why is this a little different from Professor Zhang, who he is familiar with?

"I heard you rejected Princeton's invitation? And it was Professor Faltings' personal invitation." Zhang Zhongyuan asked about the doubts in his heart.

"Yeah." Chen Zhou thought for a while and explained, "Since Yan University has already contacted me, I don't need to change these things. Moreover, mathematical research mainly depends on individuals. It's not that you can definitely make good things in Princeton.

Research."

Hearing this, Zhang Zhongyuan couldn't help but be shocked. Is this kid so enlightened?

As expected, people who can kill two world-class mathematical conjectures in a row are different, they have the style of my back then.

But then, he heard Chen Zhou continue, "Besides, when communicating with these great mathematicians, you don't have to go to Princeton. You can do it by email or phone."

"And when I went to Princeton, I guess the communication method was the same. I don't believe it. They will stay honestly and wait for you to find it. Maybe it's better to send an email."

Zhang Zhongyuan: “…”

After a while of silence, Zhang Zhongyuan said: "Since you have made a decision, I won't say much. Just like when I was young, you have always been a person who has his own ideas and can do it. I believe you

You can go out of your own way.”

"Uh...Professor, I just think you are praising me..." Chen Zhou said with a smile.

Zhang Zhongyuan glared at Chen Zhou: "Of course!"

After separating from Zhang Zhongyuan, Chen Zhou went straight to Yang Yiyi for lunch.

The purpose of Chen Zhou's lecture was to relax on the one hand, and to "consolidate" knowledge on the other hand.

Through different learning methods, you may gain different benefits, and maybe.

Knowledge needs to be reviewed.

Revisiting the past and learning the new is not just empty talk.

At the same time, Chen Zhou also wanted to see what different feelings he would feel after math has been upgraded to lv6.

The result was not disappointed, and he was always able to gain different content in small details.

Take that proof question as an example. At least three more methods he could think of.

In the process of proof, he can also think of various different mathematical knowledge.

This is a manifestation of knowledge proficiency.

The Mathematics Annual is published every two months, with only a hundred articles a year.

Logically speaking, the last issue of the Mathematics Annual in 2015 should not be published in late December at the earliest.

However, to Chen Zhou's surprise, he only submitted his paper for about a week.

The latest issue of "Mathematics Annual" was published.

And his paper [Proof of the Kramel conjecture by using distribution deconstruction] was suddenly in the latest issue of the Mathematics Annual.

And it is the first article in this issue.

At the end of the paper, a line of reviewers' evaluations of the paper were written.
Chapter completed!
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