Juli Rainbolt: welcome everyone
brooksbankpa has joined this chat.
Math and Computer Science: hi
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Meral Arnavut: Hi
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Juli Rainbolt: audio not on yet
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drvazz: our email server is down...have there been any new files sent since 1pm?
Math and Computer Science: yes, updated section 6, which I suspect ypu have already (via the web)
2:30PM
drvazz: thanks, got that.
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Donna Nonnenkamp: The IP for the VNC is the same as this morning 165.134.131.27
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Robert Talbert: Afternoon all
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Tong Wu: hi
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Ken Yanosko: thanks. now i'm here.
Math and Computer Science: hello everyone
Math and Computer Science: any questions?
Donna Nonnenkamp: To connect to the audio -quicktime-file open url in new player and type rtsp://165.134.240.33/audio0715p.sdp
Carter Lyons: S3 and C2
Donna Nonnenkamp: To connect to the video in quicktime rtsp://165.134.240.33/video0715p.sdp
2:35PM
Robert Talbert: What sections from Gallian are on your syllabus to cover?
drvazz: and how many credit hours is it?
Math and Computer Science: 3
Math and Computer Science: Ch 0 - 21 approx
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Dominic Soda: How about using GAP in a Rings first approach?
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Robert Talbert: Do you all use GAP from the very beginning, or do you wait until perm groups to introduce it?
Carter Lyons: So, you might lecture or have discussion for say 30-40 minutes of a 50 minute period?
brooksbankpa: Thanks -- that really clears it up.
Dominic Soda: Can comments be inserted as we run the log?
Robert Talbert: Could you post your syllabi to the web site for later reading?
2:40PM
Dominic Soda: While entering info into gap can we insert a comment
brooksbankpa: ##
brooksbankpa: or even 1 actually
Math and Computer Science: if you have an old version of gap you will neet centre instead of center
2:50PM
Carter Lyons: How about the index of a subgroup in G?
sklarjk: Wait, what about cgbub's question?
sklarjk: Oh, sorry!
Math and Computer Science: use the command index: Index(G,H) gives the index of H in G
sklarjk: Duh.
2:55PM
brooksbankpa: D4
drvazz: d4
Carter Lyons: D8
Carter Lyons: I forgot the notation
3:00PM
Ayan Mahalanobis: Can one in practise use some other group than perm group?
Math and Computer Science: yes Ayan these commands should work for fp groups also
3:05PM
Carter Lyons: Have we really paused?
Math and Computer Science: no, Juli is talking now
drvazz: Is there anything out there for rings other than Gap and Macaulay?
Math and Computer Science: MAGMA
Math and Computer Science: is another algebra package
Math and Computer Science: or even just Maple
drvazz: thanks
Robert Talbert: Mathematica is pretty good for specific rings -- has functions for factoring polynomials over Zn, for instance
drvazz: right
3:10PM
Ayan Mahalanobis: What happens if I type in something that is not a hom?
Ayan Mahalanobis: OK
3:15PM
Carter Lyons: There is a typo on the handout for the image of (2,3) in line -14
brooksbankpa: It's interesting, I think, to discuss here what a homomorphism really is (with the students). Clearly GAP doesn't regard it as a bijection between elements.
Math and Computer Science: right
3:20PM
Donna Nonnenkamp: We are going to change the tape --
Ayan Mahalanobis: That is a good point from Booksbank. GAP doesn't think a group as a set but as words in gens. Am I right?
Donna Nonnenkamp: Tape has been changed
brooksbankpa: In some sense. It effects a homomorphism by writing an element as a word in the given generators and evaluating that word in the other group.
Ayan Mahalanobis: Then how does it check for hom?
brooksbankpa: It's tricky!
3:25PM
Carter Lyons: Can you list these elements and find the group generated by these elements by pointwise operation?
Ayan Mahalanobis: Explaining homs this way is counterintuitive? Any comments!
Carter Lyons: The homomorphisms wil generate a group of mappings under pointwise operations.
Robert Talbert: It's not so counterintuitive if you think about linear transformations in linear algebra -- there, the image of the basis elements
3:30PM
Robert Talbert: determines the entire transform. This is pretty much the same idea.
brooksbankpa: Russell's example yesterday with the cube and S4 is a nice example to start with. There you can really *see* the homomorphism and specify it on a generating set.
Math and Computer Science: Rob - right - with the caveat that not every specification of the images of a generating set works
Math and Computer Science: since our domain group is usually not free,
Robert Talbert: Right.
Math and Computer Science: which is the vector space situation - it's a free abelian gp
Math and Computer Science: the tricky part then is checking that extending the map works OK
3:35PM
Ayan Mahalanobis: That is when you end up in the property of hom, which is missing in the generatar representation.
Donna Nonnenkamp: can you see the board ok?
brooksbankpa: it's good
Donna Nonnenkamp: thanks
3:40PM
Tracy Hamilton: what are the numbers for d49?
Donna Nonnenkamp: 2058 and 2402
Tracy Hamilton: thanks
Tracy Hamilton: Juli, your head was in the way
Jim Woeppel: I can not see the board
Carter Lyons: phi(n)*n autos and n^2 +1 endos for the evens
Math and Computer Science: jim, can you see the board better?
Carter Lyons: Right. I forgot the notation again.
Jim Woeppel: no
Donna Nonnenkamp: We'll try to zoom in
Donna Nonnenkamp: let me know when you can see it
3:45PM
Tracy Hamilton: the more movement (by the camera and Juli) the worse my picture gets
Meral Arnavut: It is even worse now.
Carter Lyons: (n+2)^2 but I am cheating!!!
Carter Lyons: I already know the answers
Carter Lyons: Phi(n)*n autos and n inners
brooksbankpa: sound's breaking up.
brooksbankpa: has anyone else lost sound?
sklarjk: My whole broadcast died.
Silvia La Falce: it's fine here
sklarjk: Restarting worked.
Carter Lyons: The even case has more normal subgroups
brooksbankpa: Ok thanks.
drvazz: I've forgotten...how do you interrupt if GAP gets stuck trying to do a big calculation:
3:50PM
brooksbankpa: control-C
Robert Talbert: control-C (on a pc)
drvazz: Thanks. (It didn't like d49)
Math and Computer Science: even on a mac
drvazz: right
Carter Lyons: The version of GAP I douwloaded is in a text format and so cutting and pasting is not an option. Can I get a graphic version or a more windows friendly version?
drvazz: Mine, too....you can paste, but it isn't the usual ctl-V
Dominic Soda: How about this autoDn code
drvazz: you have to right click and use Edit
Tracy Hamilton: right click doesn't do anything for me -- it's a dos program
drvazz: same here, on a PC...can you right click on the blue line at the top of the DOS window?
Tracy Hamilton: Ah!!! Thanks 
Dominic Soda: I am still trying to make the emacs and gap to work to-gther
sklarjk: The link on the website to the course syllabus seems to be down?
brooksbankpa: I've been able to do that in the past.
sklarjk: Ok.
brooksbankpa: But now I use a more basic text editor that came with RedHat
3:55PM
brooksbankpa: what's the problem with emacs?
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Donna Nonnenkamp: thank you
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Robert Talbert: Thanks -- have a good evening
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Silvia La Falce: bye now.
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Meral Arnavut: bye.
Math and Computer Science: video stopped
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Tracy Hamilton: bye
Dominic Soda: the gap-mode doesn't work I follwed the directions in the distribution
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brooksbankpa: oh -- I don't know anything about a specific GAP mode -- I've only used it as an editor. Sorry.
Dominic Soda: Thanks.
Juli Rainbolt: VNC stopped
brooksbankpa: hope you can get it to work.