AIM Chat with Bill Abrams , Chirashree Bhattacharya , Anne Collins , Dennis Keeler, Julianne Rainbolt , Jen Roche , Daniel Shown , Gordon Swain , Gordon Williams , Shaochen Yang .
9:49 AM
Russell Blyth: hi
Julianne Rainbolt: hi
Dennis Keeler: hi
Daniel Shown: hi
9:50 AM
Julianne Rainbolt: good morning
Bill Abrams: Hello
Gordon Swain: good morning
Daniel Shown: there is a quick test video stream up at rtsp://165.134.240.35/GAP060712am1.sdp
Russell Blyth: We are testing the H.264 format
Russell Blyth: We need to know if you can't see it
Daniel Shown: it's using a faster compression algorithm to cut the delay in half
Bill Abrams: I can see it.
Shaochen Yang: I can see it too.
Jen Roche: me 3
Chirashree Bhattacharya: can see
Russell Blyth: So that's good
Dennis Keeler: can see.
Russell Blyth: We need to make sure everyone can get it
Russell Blyth: We'll test and then restart the video. We'll let you know
Gordon Swain: That is really nice - yesterday was way flakey for me.
Gordon Swain: Yes, much better. Yesterday I kept loosing video. This is nice. But it could be on my end.
Daniel Shown: gordon,
Gordon Williams: Hey, it's late night cable back before infomercials
Daniel Shown: there is a quick test video stream up at rtsp://165.134.240.35/GAP060712am1.sdp
Edward Moy has joined this chat.
Daniel Shown: we need to make sure you can see it.
9:55 AM
Daniel Shown: hi ed,
Daniel Shown: there is a quick test video stream up at rtsp://165.134.240.35/GAP060712am1.sdp
Russell Blyth: Edward, we are running a video test
Gordon Williams: the snell plate? yes
Russell Blyth: Anne are you fine with the video?
Julianne Rainbolt: never mind - anne is not there!
Brian Walter has joined this chat.
Russell Blyth: there is a quick test video stream up atrtsp://165.134.240.35/GAP060712am1.sdp
Russell Blyth: Brian
Brian Walter: good morning
Daniel Shown: hi anne,
Daniel Shown: there is a quick test video stream up at rtsp://165.134.240.35/GAP060712am1.sdp
Anne Collins: hi
Edward Moy: Hi Juli and Russell!
Julianne Rainbolt: edward - can you see and hear us?
Edward Moy: The QT video isn,t
Edward Moy: working
Edward Moy: But I will play with it.
Russell Blyth: WHen did you install Quicktime?
Anne Collins has left this chat.
10:00 AM
Russell Blyth: OK, video test over, we'll be switching back to MPEG4 for the morning. If we get things sorted out with Edward, we'll try again for the pm
Daylene Zielinski has joined this chat.
Russell Blyth: Hang on
Russell Blyth: We're still OK
Gordon Swain: A Gap question: how do I get it to stop something mid process? I have it doing a StructureDescription and it is taking too long.
Julianne Rainbolt: control C
Russell Blyth: We stopped video
Julianne Rainbolt: Gordon - try control C
Gordon Swain: Thanks, that worked. I've forgotten basic DOS stuff.
Russell Blyth: Will let you know when to restart for video
Anne Collins has joined this chat.
Anne Collins: hi again
Russell Blyth: Hi all
Russell Blyth: VNC is up
Daniel Shown: video stream up at rtsp://165.134.240.35/GAP060712am1.sdp
Russell Blyth: We'll get started in a moment.
Russell Blyth: Pls let us know if QT DOES NOT WORK
Julianne Rainbolt: reminder of vnc address: 165.134.13.231
Russell Blyth: We switched to H.264, so need to know if we have everyone OK
Chirashree Bhattacharya: ok
Gordon Swain: I'm OK
Edward Moy: Still not working. It worked fine yesterday.
Russell Blyth: Restart it, Edward
10:05 AM
Chirashree Bhattacharya: Ques: G:= AllSmallGroups(16)[1]. I want to get the fifth element of G. So G.5 right?
Russell Blyth: No
Chirashree Bhattacharya: so how do I get the fifth element
Gordon Williams: G[5]
Russell Blyth: no
Gordon Williams: works on my machine
Gordon Williams: oh, wait... didn't see the [1]
Jen Roche: D_n for n even greater than 8
Shaochen Yang: 7.5 D_n/2
Chirashree Bhattacharya: thanks
Jen Roche: oops, i'm wrong
Julianne Rainbolt: D_n/2 is correct
Russell Blyth: stopping video
Julianne Rainbolt: that is (to be extra clear) D_(n/2)
Russell Blyth: Quit Quicktime
Bill Abrams: I must have done something wrong, I got the right answer myself, but when I used StructureDescription it gave me D_n, not D_n/2. Any ideas?
10:10 AM
Russell Blyth: It thinks D_n has order n
Russell Blyth: That's GAP-speak
Bill Abrams: Silly program.
Julianne Rainbolt: yes D_n means the dihedral group of order 2n
Russell Blyth: Video is back in MPEG4
Russell Blyth: SAme address
Dennis Keeler: I've heard that's what group theorists use now
Julianne Rainbolt: but GAP denotes this as DihedralGroup(2n)
Russell Blyth: Everyone OK
Russell Blyth: Probably because of GAP!
Daniel Shown: video stream up at rtsp://165.134.240.35/GAP060712am1.sdp
Russell Blyth: Anyone NOT have video?
Russell Blyth: Edward?
Dennis Keeler: varies from book to book too. I think Dummit Foote follows gap
Gordon Swain: I remeber that was a problem back in grad school in the 80's - notation wasn't quite fixed.
Tom Hoffman has joined this chat.
Tom Hoffman: Hi
Gordon Williams: It is fixed now?
Julianne Rainbolt: tom we have started
Russell Blyth: video stream up atrtsp://165.134.240.35/GAP060712am1.sdp
Gordon Williams: seemed to vary a great deal in grad school in the 90s
Julianne Rainbolt: vnc: 165.134.13.231
Julianne Rainbolt: continuing with section 8......
Benjamin Collins has joined this chat.
Julianne Rainbolt: ben - good to see you got your power on
Julianne Rainbolt: we have already started
Julianne Rainbolt: vnc: 165.134.13.231
Julianne Rainbolt: video stream up atrtsp://165.134.240.35/GAP060712am1.sdp
Benjamin Collins: No, it's not. I'm at home on my laptop. I have GAP and AOL. I'm working on installing QT and VNC.
10:15 AM
Julianne Rainbolt: ugh
Julianne Rainbolt: ben - let us know if there is anything we can help with
Benjamin Collins: So, keep me informed as to where we are, and I'll let you know when I can see and hear.
Julianne Rainbolt: ok ben
Gordon Williams: page 2 of section 8, middle of page
Julianne Rainbolt: we are in the middle of section 8
Julianne Rainbolt: starting the project in section 8
10:20 AM
Jen Roche: # Homomorphisms is n^2-1
Jen Roche: +1
Shaochen Yang: #homo is n^2+1
Julianne Rainbolt: yes
10:25 AM
Jen Roche: n^2-n for # of automorphisms
Jen Roche: no not right
Jen Roche: nevermind
Julianne Rainbolt: hint: involves the euler phi-function
Daylene Zielinski: 19 is prime
Shaochen Yang: n* product of p^(r-1)*(p-1), p is the prime decomp of n
Daylene Zielinski: Eulier Phi of a prime is that prime
Julianne Rainbolt: no it is the prime minus one
Daylene Zielinski: If I'm remembering the function correctly
Daylene Zielinski: Oops
Jen Roche: n*phi(n)?
Jen Roche: because if phi(prime) = prime-1? is that right?
Edward Moy: True.
Julianne Rainbolt: Jen got it!
Julianne Rainbolt: n* phi(n) is correct
Julianne Rainbolt: where phi = euler phi function
Dennis Keeler: I'm guessing it has to do with |Aut(Z_n)| = phi(n)
10:30 AM
Dennis Keeler: and the fact we have n reflections which can be mapped to each other.
Julianne Rainbolt: yes
Julianne Rainbolt: this seems to be leading to a proof dennis
Dennis Keeler: left as an exercise for the reader. 
Edward Moy: Aut(Zn) is isomorphic to U(n).
Russell Blyth: Any other Q's/comments on Section 8?
Julianne Rainbolt: stopping QT
Julianne Rainbolt: we will start section 9 in a bit
Daylene Zielinski: FYI -- I had to rebuot QT twice in the last 5 minutes. The audio kept breaking up.
Daylene Zielinski: Interesting Max Headroom effect.
Anne Collins: that's what i meant by "crunchy"
Russell Blyth: still down - stand by
Daylene Zielinski: Aha! I didn't get that yesterday.
Daniel Shown: video stream up at rtsp://165.134.240.35/GAP060712am2.sdp
10:35 AM
Julianne Rainbolt: Anyone not OK?
Benjamin Collins: Besides me?
Julianne Rainbolt: Right
Julianne Rainbolt: We're on Section 10 now
Julianne Rainbolt: Skipped Section 9
Gordon Swain: I've lost sound, even after reboot.
Julianne Rainbolt: Anyone else lose sound?
Tom Hoffman: ok here
Julianne Rainbolt: GS - try again?
10:40 AM
Gordon Swain: I don't have sound - most likely a problem on my end. I will see if it comes back and follow along on VNC in the meanwhile.
Julianne Rainbolt: OK - also, the archived movie has sound, once it's on the web site, so you will be able to hear it later
Benjamin Collins: OK, I'm in. Where are we?
Julianne Rainbolt: P2, Section 10
Julianne Rainbolt: Need VNC or QT addresses?
Benjamin Collins: No, got 'em. Thanks to Daniel.
Bill Abrams: It looks like the (admittedly horrifying) ZmodnZobj notation works mod p as well. More consistent for the students?
10:45 AM
Julianne Rainbolt: Example?
Bill Abrams: ZmodnZObj(2,5)+ZmodnZObj(3,5);
Bill Abrams: Your way is m uch less horrifying. Sorry.
Dennis Keeler: Actually, if one made a short function name like Zn(2,5) + Zn(3,5), I'd like Bill's way better.
Gordon Williams: why?
Dennis Keeler: I would think students would get very confused with Z(7)^2 + Z(7)^3, etc.
Gordon Williams: ahh
10:50 AM
Gordon Williams: but is that better than 2+3 mod 7?
Dennis Keeler: At least I can look at Zn(2,5) and instantly know what it means in terms of an intro book like Gallian.
Dennis Keeler: You're right, when just doing calculations like 2 + 3 mod 7, that's better.
Dennis Keeler: I suppose it will depend on what ring theoretic stuff we learn.
Gordon Williams: I'm still trying to figure out when the other notation is better
Gordon Williams: can you give me an example?
Dennis Keeler: I'm just thinking that: gap> Z(5)^2 + Z(5)^0 ;
0*Z(5) doesn't make much intuitive sense.
Gordon Williams: fair enough
Julianne Rainbolt: Qs?
10:55 AM
Russell Blyth: x^n-1
Russell Blyth: x^2-1
Benjamin Collins: Not related to what you've done -- I did something that is causeing Gap to think a loooooong time. Can I break the loop without losing all the work I've done?
Russell Blyth: x^2+1 ugh!
Julianne Rainbolt: ctrl-C will break
Julianne Rainbolt: then quit;
Julianne Rainbolt: to get out of brk>
Benjamin Collins: THX
Tom Hoffman: ctrl-C will sometimes kill gap entirely
Julianne Rainbolt: Conjecture?
11:00 AM
Jen Roche: solutions when p is 1 mod 4?
Jen Roche: 2 slns
Julianne Rainbolt: yes
Russell Blyth: Video back
Daniel Shown: video stream up at rtsp://165.134.240.35/GAP060712am3.sdp
Julianne Rainbolt: video up am3
Russell Blyth: Qs?
Russell Blyth: Conjectures?
11:05 AM
Julianne Rainbolt: waiting for screen video to save
Julianne Rainbolt: so good time for comments and questions
Russell Blyth: Anyone not OK?
Benjamin Collins: mine says "16 participants"
Julianne Rainbolt: do you have ichat or aim
Benjamin Collins: AIM
11:10 AM
Benjamin Collins: I can just see my students' heads exploding when I try to tell them that 1 is the 0th element, and 5 is the 6th.
Bill Abrams: I wonder if you can write h:=x _>(5 mod 10)*x; and getg the same thing?
Bill Abrams: Sorry, the un.derscore should be a dash
Bill Abrams: Sorry - I can handle GAPs notation, or so I claim, but my students will revolt.
Daylene Zielinski: That seems much better.
Benjamin Collins: This should be obvious, but I'm just checking. [0, 1, 16, 25] are the actual integers, not the position in the list. Right?
11:15 AM
Julianne Rainbolt: yes
Bill Abrams: I am afraid that only works if we are in the same room.
Dennis Keeler: too easy to glance at email. 
Benjamin Collins: Of m or of n?
Gordon Swain: M^2=m mod n?
Jen Roche: that's it!
Gordon Swain: maybe that makes up for me not doing my homework last night.
11:20 AM
Gordon Swain: I missed what ringHoms2 is doing? wouldn't it need 2 inputs n,m
Gordon Williams: exercise 11.6
Russell Blyth: maps x -> x^m from Z_n to Z_n
Russell Blyth: which m work?
Tom Hoffman has left this chat.
Gordon Swain: Sorry, I was still thinking about 11.5
11:25 AM
Julianne Rainbolt: need (x+y)^m = x^m +y^m for all x,y in Z_n
Gordon Williams: why are we working with multiples of 5
Gordon Williams: and what is the statement of the homework assignment
Jen Roche: do you mean the project?
Gordon Swain: What form will our presentation be in?
Benjamin Collins: What do you plan to do this afternoon?
Gordon Williams: you have keynote?
Julianne Rainbolt: Ben: we will start with section 12
Russell Blyth: no keynote, sorry
Gordon Williams: np
Julianne Rainbolt: Ben: then we plan to cover the sections in order from there
Gordon Swain: So, a handout like the Section N that we have is fine.
Dennis Keeler: could you put one of your LaTeX files online? So we can easily make ours look the same.
11:30 AM
Russell Blyth: Sure
Dennis Keeler: LaTeX should never be written from scratch. 
Russell Blyth: True
Benjamin Collins: THX, Russell and Juli. Sorry again that I was late.
Russell Blyth: QT off
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Russell Blyth: Bye for now
Shaochen Yang has left this chat.
Chirashree Bhattacharya has left this chat.
Julianne Rainbolt: I am still here if you have any more Q's before you go.....
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Russell Blyth: stopping VNC feed
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11:35 AM
Brian Walter has left this chat.