Xueba starts with change

Chapter 308 An opportunity to analyze number theory! (add 1 to the monthly pass of the previous month)

Zhang Zhongyuan really wanted to ignore this hand, but he saw that many students ignored the 3 minutes he gave them, and looked back at Chen Zhou first.

There's no way around it, you can't let someone hold it up, right?
So, under the expectant eyes of the students, Zhang Zhongyuan called his name: "Chen Zhou, please answer."

Chen Zhou stood up with a smile on his face.

"Think of the Klein quaternion group as a form of quaternion permutation, s4 is a group of order 24, and Klein is a group of order 4."

"Therefore, it can be known from Lagrange's theorem that the quotient group s4/Klein is a group of order 6. There are only two types of groups of order 6 in the sense of isomorphism, one is a cyclic group of order 6, and the other is s3."

"Here all the elements in s4/Klein are listed, or it can be written in the form of left coset. Observe the representative elements of those cosets, and you can know that s4/Klein obviously cannot form a cyclic group of order 6, so s4/Klein must Isomorphic to s3."

"At this point, the answer to this question will come out."

Chen Zhou's tone was steady, and he completely explained the idea and method of proving this question.

Zhang Zhongyuan looked at Chen Zhou, hesitant to speak.

As for the students below, some had already started to check the calculations, and some looked at Chen Zhou with adoring eyes.

A boss is a boss. As soon as the question comes out, the answer comes out without thinking.

It's just that many students who checked the calculations found that Chen Zhou had overlooked a problem.

That is one less step to prove that the Klein quaternary group is a normal subgroup.

They set out to justify the content of this part.

Zhang Zhongyuan watched the speed of the students' writing, which was much faster than his usual writing speed in class, and he couldn't help sighing softly in his heart.

Looking at Zhang Zhongyuan who had been silent all this time, Chen Zhou thought for a while, his thinking should be right?

But immediately, he realized that he had said a little less, and added: "By the way, the proof that the Klein quaternion is a normal subgroup here is too simple, so I didn't say it."

Hearing Chen Zhou's voice, the students who were trying to prove that the Klein quaternion group is a regular subgroup were stunned by the hand holding the pen, and then stopped.

Their faces were full of wry smiles.

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

In the second half of the class, Zhang Zhongyuan checked the time from time to time. He felt that this was the most "difficult" class since he taught.

It's not because of any special reason, it's because I'm too familiar with Chen Zhou. This kid hasn't come to class for such a long time, and he came to class suddenly, which made him a little...not used to it...

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

Following Zhang Zhongyuan's words, this "Abstract Algebra" class came to an end.

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

If he understood correctly, it should mean, don't leave after class.

Seeing that Chen Zhou didn't leave, the students in the classroom also slowed down.

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

The real person will show up at this meeting, so don't take a good look at it and absorb the aura of a school bully.

If you don't keep it all, you can avoid failing the final exam not far away?

Even a face-to-face meeting is fine!

They still have deep memories of Gao Dai's common failings.

But it's obvious that Zhang Zhongyuan is not happy anymore. He still has something to do with Chen Zhou. Why are you all making fun?
"What? Don't you want to finish class? How about we come again..."

When Zhang Zhongyuan said this, he paused unconsciously, and when he saw the excited students, he immediately changed his mind and said, "Why don't we arrange more after-school exercises, and everyone will do it here?"

Hearing this, some students quickly said: "Don't, Professor Zhang, why don't you pack up your things? If you have too many things, leave immediately!"

Then, Zhang Zhongyuan saw a strange scene.

These students, one by one, walked up to Chen Zhou deliberately instead of going through the main entrance, and either said "Boss, please be merciful next time" or "Boss, you are so handsome!".

Then he left the classroom through the back door.

Regarding this, Chen Zhou was also a little dumbfounded.

After everyone had left, Chen Zhou got up and walked towards Zhang Zhongyuan.

Zhang Zhongyuan looked at Chen Zhou and asked, "How is it? This trip to MIT has been fruitful, right?"

Chen Zhou shook his head: "It's not considered a full harvest. Most of the time was spent on researching Kramer's conjecture, and I didn't even have time to listen to the report."

Zhang Zhongyuan immediately scolded with a smile: "You kid is so good that you are so good. Whether you listen to those reports or not, does it have a big impact on you? Can you solve Kramer's conjecture?"

"Hey." Chen Zhou laughed, "You can't say that, there are still quite a few lectures from big bosses. Like Professor Faltings, Professor Deligne..."

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

After a pause, he asked again: "Have you finished the thesis on Kramer's conjecture?"

Chen Zhou nodded: "It has been submitted to the "Annals of Mathematics"."

"That's fine, it's another study that shocked the mathematics world." After Zhang Zhongyuan finished speaking, he glanced at Chen Zhou and added, "Compared to those mathematicians who didn't attend the lecture."

Seeing Zhang Zhongyuan like this, Chen Zhou smiled, why is this a little different from the Professor Zhang he is familiar with?

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

"Well." Chen Zhou thought for a while and explained, "Since Yanda has already contacted, there is no need for me to change these. Moreover, mathematics research mainly depends on the individual. It does not mean that in Princeton, you will definitely be able to make good Research."

Hearing this, Zhang Zhongyuan couldn't help but be stunned. Is this kid so enlightened?
Sure enough, the person who can kill two world-class mathematical conjectures in a row is just different, with the demeanor I had back then.

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

"And I went to Princeton, and I guess the communication method is the same. I don't believe it. They will just wait for you to find them. Maybe it's not as fast as sending an email."

Zhang Zhongyuan: "..."

After being silent for a while, Zhang Zhongyuan said: "Since you have made your decision, I won't say much. Just like when I was young, you have always been a person who has your own ideas and can do it. I believe you You can go your own way."

"Uh...Professor, I'll take it as 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 directly to Yang Yiyi for lunch.

The purpose of Chen Zhou to attend this class is to relax on the one hand, and to "consolidate" knowledge on the other hand.

Through different learning methods, there may be different gains, maybe.

Knowledge needs to be reviewed.

Knowing the new by reviewing the past is not empty talk.

At the same time, Chen Zhou also wanted to see how he would feel differently when he learned mathematics after his mathematics was promoted to Lv6.

The result didn't disappoint him. With the small things, he can always get different content.

Take the proof question as an example, there are at least three methods he can think of.

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

This is the embodiment of knowledge proficiency.

"Annual of Mathematics" is published every two months, with no more than a hundred articles per year.

It stands to reason that the last issue of "Annual of Mathematics" in 2015 should not be published until late December at the earliest.

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

The latest issue of "Annual of Mathematics" is published.

And his paper [Proof of Kramer's Conjecture by Distribution Deconstruction Method] was impressively published in the latest issue of "Annual Journal of Mathematics".

And it's the first article in this issue.

At the end of the paper, a line of reviewers' comments on the paper are written.

[This is not only the proof of Krammel's conjecture, but also the key to the problem of prime number intervals. If you want to say its importance, it is - this is an opportunity to analyze number theory! 】

(End of this chapter)