Messages

Publisert 15. mai 2014 09:34

The curriculum is as follows:

 Sections
0-6, 8-11, 13-16, 18-19, 20 (up to Theorem 20.8), 21-23, 26, 27(except
prime fields), 29-30, 31 (up to 31.17), 36-37, 45, 48 (up to Example
48.17), 49-50,  53 (except for finite
fields).

It might be a little shorter, depending on how far we get in Galois 
theory, so parts of section 53 may be taken out.

Geir

Publisert 12. mai 2014 15:36

I have written a few pages about the Galois correspondence. They are raw and quickly written, but hopefully  they will be of use  for  you.

 

Geir

Publisert 5. mai 2014 15:50

Ark 8 on the web.

 

Geir

Publisert 25. apr. 2014 10:06

In problem 3 the groups A and B should be of relatively prime order,

 

Geir

Publisert 11. apr. 2014 10:27

Ark 7 on the web.

 

Geir

Publisert 8. apr. 2014 10:43

In problem 34   n must be at least as great as p.

 

Geir

Publisert 26. mars 2014 14:33

Ark 6 on the web.

 

G

Publisert 25. mars 2014 12:32

There is a misprint in problem 27 c) and 27 d) on Ark5. The term of degree one should be of degree two.

New version on the web.

Geir

Publisert 25. mars 2014 12:30

There is a misprint in problem 27 c) and 27 d) on Ark5. The term of degree one should be of degree two.

New version on the web.

Geir

Publisert 19. mars 2014 14:06

They should all be corrected.

 

Those which have not there assignment accepted, has a  deadline for a second try on thursday 27. march at 14:30.

 

Geir

 

Publisert 12. mars 2014 12:37

Ark5 on the web

 

G

Publisert 4. mars 2014 15:21

In problem 3 there is a "2"  which should be "e"

 

Geir

Publisert 3. mars 2014 09:28

There also a misprint in 2e in the mandatory assignment.

Corrected version on the web.

Publisert 28. feb. 2014 16:23

New version on the web.

 

There was a small misprint and a formulation that was not completely clear. 

 

Geir

Publisert 27. feb. 2014 10:39

The problems for the mandatory assignment are on the web!

 

Geir

Publisert 25. feb. 2014 10:46

Ark 4 is on the web.

G

Publisert 21. feb. 2014 10:32

There is misprint on Ark3, problem 24b) the subgroup should be of order five.

Corrected version on the web.

 

Geir

 

Publisert 17. feb. 2014 14:18

The mandatory assignment will be put on the web on Thursday February 27.

 

You must hand it in before March 13 at 14.30.

 

Geir

Publisert 17. feb. 2014 14:15

Today, Monday 17. februaray, I the exercises indicated on the Ark and 

I did the rest of section 14, and section 15.

On Friday may be I say a few words about commutators and then centre. Then we do section 16.

Section 17 is not part of the curriculum.

We then leave the groups for some time and start on Part IV, Rings and fields.

Geir

Publisert 12. feb. 2014 08:53

Ark 3 is on the web.

 

G

Publisert 4. feb. 2014 10:28

Yesterday I finished theorem 9.8 about representing a permutation as a product of disjoint cycles. In addition I did some small things about the number of k-cycles and the order of a composition of cycles.

I also did the exercises indicated on Ark2.

On friday we shall do even and odd permutations, the alternating groups and proceed with section 10. That lecture will be given by Nadia Larsen - I'll will go to a funeral.

For norwegian speakers I have also posted some notes about permutations.

Geir

Publisert 3. feb. 2014 10:10

On Ark 2 exercise  33 figures two places. It should be replaced by exercise 32 on Wednesday, Feb 12.

Geir

 

Publisert 29. jan. 2014 14:33

A student forgot his red gym bag at the drop in group this morning, and when he came back to fetch it, it had disappeared. Can anybody help him?

 

Geir

Publisert 27. jan. 2014 09:44

Ark2 is on the web!

 

On Friday I did Section 5 about subgroups and started on Section 6 about cyclic groups. To day I'll finish that section (hopefully).

Geir

Publisert 24. jan. 2014 10:06

On Monday I'll do the following exercises on the board:

14, 17, 20, 26, 28 and 30.

All from Ark1.

To day during the lecture I'll do the exercises 27 and 29 as part of the theory.

 

Geir