After a thousand years of trading, start a million barrels of oil

Chapter 73 Problem Solving (for further reading)

After thinking about it, I decided not to answer it. After all, I just came here, so I'd better not be an early bird.

The others thought for a while, the boy with the flat head hesitated a little but finally raised his hand and said, "Then let me try."

"Who is this?" Jiang Fan also asked Feng Wen beside him in a low voice.

"This is our Yansan senior brother, Zhao Jie." Feng Wen also said in a low voice.

"Oh, there are only six of you as brothers, right?" Jiang Fan asked.

"No." Feng Wen replied: "There are 3 more, 2 of them are Ph.

There is another one who is an undergraduate student like you, a senior, and has secured Professor Zhu's graduate student, so he didn't come here this time because of something. "

"Oh." Jiang Fan understood.

At this time, Zhao Jie had already begun to explain the process of solving the problem. During the process, he stumbled a few times, and twice overturned the argument he just said before.

But stumbling can be regarded as solving the problem.

Jiang Fan thinks that this brother is still good, although there is still a distance from himself after using the knowledge patch.

After Zhao Jie solved it, he let out a sigh of relief, and the professor gave him a look of approval.
The other seniors also smiled back and expressed their admiration. They are worthy of being the seniors of Yansan. Among the graduate students led by Professor Zhu, they can be regarded as the ceiling of ability.

The professor then rummaged through his question bank. This time he searched for a long time. Finally, he seemed to have found something. He opened a new question by saying "Yes".

Topic: Using finite simple group theory and its knowledge of prime graphs, discuss finite groups whose order is a prime power of a maximal nilpotent subgroup, and give some characterizations of the structure of such groups.

Professor Zhu did not forget to add with a smile after finishing the question: "Didn't you just want to prove those famous unsolved conjectures?
Most of those conjectures are related to prime numbers. I will give you a question that includes prime numbers to see how much opportunity you have to challenge those conjectures. "

Several graduate students were a little bit tongue-tied when they saw this topic. It is said to be a prime number, but it actually contains a lot of knowledge about group theory.

At a glance, including finite groups, extremely nilpotent subgroups, K3 simple groups, exterior automorphism groups, and finite simple groups, these seem to be involved.

This one is a bit tricky.

Jiang Fan frowned a little when he saw it. This problem seemed to be much more difficult than the Fourier series problem he solved in class last time. Jiang Fan felt a toothache when he read it.

However, he broke down the topic carefully, and borrowed Feng Wen's pen and paper next to him to draw a picture, and he probably had a good idea.

While others are still thinking hard, Feng Wen and the others who have studied first and second have basically given up.

Looking at each other, they shook their heads helplessly and smiled wryly. The professor's question is here to hurt people's self-confidence, and he probably didn't point out that anyone could do it at all.

Zhao Jie from the Third Research Institute is a little better, at least he has some ideas to try after reading the topic, and has been burying his head in hard calculations.

After thinking for a while, he curled his lips and shook his head slightly, obviously the attempt was not going well.

"Junior Brother Jiang, do you know this question?" Feng Wen thought about the professor saying that this one solved the Fourier problem last time, so he tried to ask Jiang Fan.

Jiang Fan still felt that it was better to keep a low profile for the first time, so he shook his head and said, "No."

Feng Wen felt a little regretful when he heard it, and pointed out that this junior brother could bring some surprises, he patted Jiang Fan on the shoulder and said in a low voice:
"It's okay, the professor sometimes likes to make some difficult problems to hit us, it's not normal."

Jiang Fan smiled and nodded, thanking him for his comfort.

"Is there anyone who can do it?" The professor asked again with a smile when he saw that no one raised his hand after waiting for a long time.

"Professor, your question is a bit too difficult. I don't think Brother Zhao will be able to do it." Seeing Zhao Jie's expression, Feng Wen asked Jiang Fan again, and naturally made a small complaint jokingly.

When Zhao Jie heard Feng Wen's words, he also shook his head cooperatively: "I really can't."

He's telling the truth.

Of course Professor Zhu knew that they wouldn't know, they were all his students, how could they not know how much they were?He asked this question to test Jiang Fan,

Asked to Jiang Fan: "Jiang Fan, you don't know either?"

Jiang Fan shook his head: "No."

The professor smiled: "I really don't know, just don't have any ideas?"

Jiang Fan hesitated for a while, whether to say or not, after thinking about it, he insisted, and said, "It's really a bit difficult."

"Junior brother Jiang, you can say what you really know, we don't have so many well-behaved people here,
If you really answer the question, I will treat you to dinner for a week. " Zhao Jie interrupted with a smile at this time.

"Brother Zhao, what you said, if I make it, you will treat me to dinner for a week." Feng Wen interjected with a smile.

Zhao Jie smiled: "If you can do it, I will invite you for a month."

Feng Wen laughed and said: "Brother Zhao, then you should be ready. You should keep the flowers for yourself, I won't."

Then he turned his head and looked at Jiang Fan encouragingly: "Junior Brother Jiang, if you want to know it, just say it, our team doesn't talk about that."

Several other team members also cast encouraging glances.

Jiang Fan felt that the academic atmosphere was quite good. He had just guessed with Mr. Jin in Shanchuan Mining, and suddenly they came to the relatively simple environment of the ivory tower.
There is a feeling of returning to the quietness of the bamboo forest after experiencing the hustle and bustle of the city. It is quiet, fresh and very comfortable.

Of course, it is mainly because the atmosphere of Professor Zhu's team is good, other professors are not necessarily so.

Since everyone was looking forward to it, Jiang Fan felt that it would be okay if he didn't answer, and said:
"I do have a little idea, let me ask you brothers and sisters to give me some advice."

Seeing that Jiang Fan was willing to answer, everyone's eyes lit up with anticipation. Today we can see the debut of this junior, and we are looking forward to it.

Professor Zhu also showed a meaningful smile, this little guy really has reservations.

Because this topic involves some calculations, Jiang Fan got up and went to the whiteboard next to the projection screen, picked up a marker pen and wrote on the whiteboard while saying:
"For this problem, we assume that G is a finite group, then the orders of the maximal nilpotent subgroups of G are prime powers.

G is one of the following:
1. G is a p-group;
2. G is a group of p^aq^b Lux order, at this time G is a Frobenius group or a 2-Frobenius group;
3. There is H△G, H is a 2-group, and G/H isomorphic to one of the following groups: A5, A6, A6·23
"

Jiang Fan was still talking about a set of answers, and the expressions of the people below have gradually become more exciting.
Professor Zhu had already smiled at the beginning, because he had the right idea, and he knew how to do it without running away.

Zhao Jie saw half of it and suddenly realized that it was explained in this way, so he shook his head helplessly, why didn't he think of it, and there was more admiration in his eyes looking at Jiang Fan.

And the other graduate students, until near the end, finally realized the solution to the whole problem,

I couldn't help but let out a slight "wow ~" admiration, this junior is too good.

After Jiang Fan finished speaking, he put down the marker and said, "This is the general idea."

There was a burst of applause below~
(End of this chapter)